Exercises SS 2012
 
String Theory II (Prof. Dr. H.-P. Nilles & Priv. Doz. Dr. S. Förste)
 
Group 1, Damian Kaloni Mayorga Pena / Fabian Rühle: Thursday 16:00-18:00, Conference Room 2, HISKP
 
Nr. 0 [pdf ]
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]




Exercises WS 2011-2012
 
String Theory I (Prof. Dr. H.-P. Nilles & Priv. Doz. Dr. S. Förste)
 
Group 1, Michael Blaszczyk / Fabian Rühle: Tuesday 10:00-12:00, Conference Room 1, PI
 
Nr. 0 [pdf ]
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
Nr. 9 [pdf ]
Nr. 10 [pdf ]




Exercises SS 2011
 
Theoretical Particle Physics II (Prof. Dr. H.-P. Nilles & Dr. C. Lüdeling)
 
Group 1, Paul Oehlmann: Thursday 18:00-20:00
 
Nr. 0 [pdf ]
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
Nr. 9 [pdf ]
Nr. 10 [pdf ]
Nr. 11 [pdf ]




Exercises WS 2010 / 2011
 
Theoretical Particle Physics (Prof. Dr. H.-P. Nilles)
 
Group 1, Fabian Rühle: Wednesday 16:30-18:30, Conference Room 2, PI
Group 2, Claudia Stephan: Thursday 10:00-12:00, Übungsraum 2, AVZ
 
Nr. 0 [pdf ]
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
Nr. 9 [pdf ]
Nr. 10 [pdf ]
Nr. 11 [pdf ]




Exercises SS 2010
 
Group Theory (Dr. C. Lüdeling )
 
Group 1, Thomas Wotschke: Monday 10:00-12:00, Room 5, AVZ
Group 2, Daniel Lopes: Tuesday 10:00-12:00, Room 5, AVZ
Group 3, Marco Rauch: Wednesday 10:00-12:00, Room 118 (lecture hall), AVZ
 
Nr. 0 [pdf ]
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
Nr. 9 [pdf ]
Nr. 10 [pdf ]
Nr. 11 [pdf ]
Nr. 12 [pdf ]




Exercises SS 2010
 
Theoretical Particle Physics II (Priv. Doz. Dr. Stefan Förste)
 
Group 1, Nana Geraldine Cabo Bizet / Fabian Rühle: Thursday 13:00-15:00, Room 22, AVZ
 
Nr. 0 [pdf ]
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
Nr. 9 [pdf ]
Nr. 10 [pdf ]
Nr. 11 [pdf ]
Mock Exam [pdf ]




Exercises WS 2009-2010
 
Theoretical Particle Physics (Prof. Dr. H.-P. Nilles)
 
Group 1, Valéri Löwen: Wednesdays 10:00-12:00, Conference Room I (W160), PI
Group 2, Nana Geraldine Cabo Bizet: Wednesdays 18:00-20:00, AVZ 4              
Group 3, Michael Blaszczyk: Thursdays 10:00-12:00, HS IAP                            
 
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
Nr. 9 [pdf ]
Nr. 10 [pdf ]




Exercises SS 2009
 
Theoretical Astroparticle Physics (Prof. Dr. H.-P. Nilles and Priv. Doz. Dr. Stefan Förste)
 
Group 1, Michael Blaszczyk and Tae Won Ha: Monday 8:00-10:00, PI SR 1 (English)
 
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
Nr. 9 [pdf ]
Nr. 10 [pdf ]
Nr. 11 [pdf ]




Exercises WS 2008-2009
 
String Theory (Prof. Dr. H.-P. Nilles)
 
Group 1, Christoph Lüdeling: Wednesdays 14:15-16:00, AVZ 118 (English)
 
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
 
General Relativity (Priv. Doz. Dr. Stefan Förste)
 
Group 1, Maxim Mai: Wednesdays 10-12, AVZ 5
Group 2, Marco Rauch: Thursdays 8-10, AVZ 22
 
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
Nr. 9 [pdf ]
Nr. 10 [pdf ]
Nr. 11 [pdf ]
Nr. 12 [pdf ]
Nr. 13 [pdf ]




Exercises SS 2008
 
Elementary Particle Physics II (Prof. Dr. H.-P. Nilles)
Denis Klevers
 
Nr. 1 [pdf ]
Nr. 2 [pdf ]
Nr. 3 [pdf ]
Nr. 4 [pdf ]
Nr. 5 [pdf ]
Nr. 6 [pdf ]
Nr. 7 [pdf ]
Nr. 8 [pdf ]
Nr. 9 [pdf ]
Nr. 10 [pdf ]
Nr. 11 [pdf ]
Nr. 12 [pdf ]




Exercises WS 2006-2007
 
General Relativity (Prof. Dr. H.-P. Nilles)
 
Group 1, Jumin Kim: Mondays 8:15-10:00, AVZ 6 (English)
Group 2, Magnus Engenhorst: Tuesdays 17:15-19:00, AVZ 17
Group 3, Bernhard Wurm: Wednesdays 13:15-15:00, AVZ 6
Group 4, Denis Klevers: Fridays 10:15-12:00, AVZ 7
Felix Plöger
 
Nr. 1/2 [ ps | pdf ]
Lorentz transformations and Electrodynamics
Nr. 3 [ ps | pdf ]
Free movement in a gravitational field; Non-orthogonal coordinates; Locally varying coordinates
Nr. 4 [ ps | pdf ]
Calculus and covariant differentiation; Gradient, Rotation and Divergence
Nr. 5 [ ps | pdf ]
Geodesics of S^2; Riemann tensor; Bianchi identities
Nr. 6 [ ps | pdf ]
The Einstein Hilbert action; Schwarzschild solution (Episode I)
Nr. 7 [ ps | pdf ]
Energy momentum in hydrodynamics; Normal coordinates
Nr. 8 [ ps | pdf ]
Schwarzschild solution (Episode II)
Nr. 9 [ ps | pdf ]
Motion in Schwarzschild solutions; Precession of perihelion
Nr. 10 [ ps | pdf ]
Gravitational waves; Robertson-Walker metric
Nr. 11 [ ps | pdf ]
Friedmann models
Nr. 12 [ ps | pdf ]
Age of the universe




Student Seminar SS 2006
 
Seminar Theoretische Elementarteilchenphysik (Prof. Dr. M. Drees, Prof. Dr. H.-P. Nilles)
 
Thursdays, from 4pm to 6pm in HS 1/HISKP
 
Date Speaker Title Slides Script
20.04.06    S. Koelling Sym. Breaking: Pion as a NGB [ pdf ] N/A
27.04.06 K. Polejaeva Chiral Anomaly [ pdf ] N/A
04.05.06 R. Schmitz Magnetic Monopoles [ pdf ] N/A
11.05.06 M. Gross Large N Expansions [ pdf ] N/A
18.05.06 J. Kim Renormalization Group Flow [ pdf ] N/A
01.06.06 D. Mross Solitons, Vortices, Instantons [ pdf ] N/A
22.06.06 K. Rosbach Effective Potential [ pdf ] N/A
29.06.06 M. Ronniger Optical Theorem, Partial Wave Unitarity [ pdf ] N/A
06.07.06 K. Helfrich Axions [ pdf ] N/A
13.07.06 B. Eltzner QFT at finite Temperature [ pdf ] N/A
 
 
Exercises SS 2006
 
Elementary Particle Physics II (Prof. Dr. H.-P. Nilles)
 
Saúl Ramos: Thursdays 10:15-12:00, AVZ 4 (English)
Patrick Vaudrevange
 
Nr. 1 [ ps | pdf ]
Higgs mass corrections
Nr. 2 [ ps | pdf ]
Grassmann variables and Weyl spinors; Pauli matrices and Weyl spinors; Grassmann differentiation
Nr. 3 [ ps | pdf ]
The SUSY Algebra and the Chiral Representation
Nr. 4 [ ps | pdf ]
The Superpotential; Kinetic terms of chiral superfields; The Wess-Zumino Model
Nr. 5 [ ps | pdf ]
Vector superfields and gauge transformations; Pure supersymmetric abelian Yang-Mills
Nr. 6 [ ps | pdf ]
F-term SUSY breaking in the O'Raifeartaigh model
Nr. 7 [ ps | pdf ]
Gauge invariant couplings; D-term SUSY breaking - part I
Nr. 8 [ ps | pdf ]
D-term SUSY breaking - part II; The Minimal Supersymmetric Standard Model - part I
Nr. 9 [ ps | pdf ]
The MSSM Higgs sector
Nr. 10 [ ps | pdf ]
Supergravity definitions; The Polonyi superpotential
Nr. 11 [ ps | pdf ]
No-Scale Model




Exercises WS 2005/06
 
Elementary Particle Physics (Prof. Dr. H.-P. Nilles)
 
Group 1, Felix Plöger: Mondays 11:15-13:00, AVZ 2
Group 2, Eike Müller: Mondays 14:15-16:00, AVZ 116
Group 3, Saúl Ramos: Wednesdays 17:15-19:00, Seminar Room 1 (PI) (English)
Patrick Vaudrevange
 
Nr. 1 [ ps | pdf ]
Some calculations for the lecture; The Dirac equation; Free solutions of the Dirac equation
Nr. 2 [ ps | pdf ]
The adjoint Dirac equation and currents; Completeness relations; Trace theorems and properties of γ-matrices
Nr. 3 [ ps | pdf ]
Representations of su(2); the Lorentz group; Weyl spinors - part I
Nr. 4 [ ps | pdf ]
Weyl spinors - part II; Dirac spinor - part I; Non-Abelian Gauge Symmetry
Nr. 5 [ ps | pdf ]
Dirac spinor - part II; Non-Abelian Gauge Symmetry - part II; Spontaneous Symmetry Breaking in the Linear Sigma Model
Nr. 6 [ ps | pdf ]
Spin 1/2 fermions coupled to an el.magn. field; Electron-Muon Scattering
Nr. 7 [ ps | pdf ]
Non-Abelian Gauge Symmetry - part III; The Standard Model Higgs Effect - part I
Nr. 8 [ ps | pdf ]
The Standard Model Higgs Effect - part II; Dynkin Diagram of SU(n) - part I
Nr. 9 [ ps | pdf ]
Dynkin Diagram of SU(n) - part II; Representations of SU(n) - part I; The CKM Matrix
Nr. 10 [ ps | pdf ]
Representations of SU(n) - part II; Symmetry Breaking and Branching Rules; Spontaneous Symmetry Breaking in SU(5)
Nr. 11 [ ps | pdf ]
Renormalization of the Electric Charge in QED - part I
Nr. 12 [ ps | pdf ]
Renormalization of the Electric Charge in QED - part II; Dynkin Diagram of SO(2n) - part I
Nr. 13 [ ps | pdf ]
Dynkin Diagram of SO(2n) - part II




Exercises WS 2004/05
 
General Relativity (Prof. Dr. H.-P. Nilles)
 
Group 1, Akιn Wingerter: Mondays 16:00, Seminar Room 1 (PI)
Group 2, Nils Carqueville: Fridays 14:00, Seminar Room 1 (PI)
Group 3, Mark Hillenbach: Fridays 14:00, Conference Room 2 (PI)
 
Nr. 1 [ ps | pdf ]
Lorentz transformations; Space-time diagrams; Time dilation
Nr. 2 [ ps | pdf ]
Electromagnetism; Energy-momentum tensor; Angular momentum
Nr. 3 [ ps | pdf ]
Non-orthogonal coordinates; Christoffel symbols from Lagrange equation; Spherical coordinates
Nr. 4 [ ps | pdf ]
Free movement on geodesics; Riemann tensor
Nr. 5 [ ps | pdf ]
Bianchi identities; Energy-momentum tensor for fluids
Nr. 6 [ ps | pdf ]
Schwarzschild solution
Nr. 7 [ ps | pdf ]
Light deflection in weak fields
Nr. 8 [ ps | pdf ]
Precession of Perihelion
Nr. 9 [ ps | pdf ]
Gravitational waves; Robertson-Walker metric
Nr. 10 [ ps | pdf ]
Age of the universe
 
Exercises SS 2004
 
Theoretical Elementary Particle Physics II (Prof. Dr. H.-P. Nilles)
 
Nr. 1 [ ps | pdf ]
Weyl spinor algebra; SUSY algebra
Nr. 2 [ ps | pdf ]
Superfield representation of SUSY algebra; Left and right handed representations; SUSY transformations of component fields (This is the new version with corrections and clarifications)
Nr. 3 [ ps | pdf ]
Kinetic terms of chiral superfields; F-term SUSY breaking
Nr. 4 [ ps | pdf ]
Vector superfield; Gauge transformations; Spinor superfield
Nr. 5 [ ps | pdf ]
Minimal Supersymmetric Standard Model; MSSM Higgs sector
Nr. 6 [ ps | pdf ]
Supergravity: Polonyi superpotential
Nr. 7 [ ps | pdf ]
No scale model; Dimensional reduction
Nr. 8 [ ps | pdf ]
Orbifold symmetries; 5d Orbifold gauge symmetry breaking
 
 
Exercises WS 2003/04
 
Theoretical Elementary Particle Physics (Prof. Dr. H.-P. Nilles)
 
Nr. 1 [ ps | pdf ]
Dirac equation; Representation theory of su(2)
Nr. 2 [ ps | pdf ]
Representations of the Lorentz group; Weyl spinors; Dirac spinors
Nr. 3 [ ps | pdf ]
Global and local gauge invariance; representaions of SU(n); Young tableaux; Dynkin's approach to group theory
Nr. 4 [ ps | pdf ]
Tree level Feynman graphs; Mott scattering; Spontaneous symmetry breaking in the linear sigma model
Nr. 5 [ ps | pdf ]
Standard model Higgs effect; Crossing symmetry; Feynman rules
Nr. 6 [ ps | pdf ]
Dimensional regularization of phi^4 theory; triplet Higgs
Nr. 7 [ ps | pdf ]
On-shell renormalization scheme of phi^4 theory; Parity, charge conjugation, time reversal on Dirac spinors
Nr. 8 [ ps | pdf ]
Roots and weights, simple roots, Killing form, Cartan matrix, Dynkin diagram, G2
Nr. 9 [ ps | pdf ]
Symmetry breaking, branching rules, SU(5) GUT
Nr. 10 [ ps | pdf ]
Renormalization group equations, beta-functions, renormalization of the electric charge in QED
Nr. 11 [ ps | pdf ]
Beta-function of phi^4 theory, running masses, anomalous dimension
 
 
Student Seminar WS 2003/04
 
Seminar on Strings and Branes (Prof. Dr. R. Flume, Priv-Doz. Dr. S. Förste),
 
Date Speaker Title Slides Script
12.11.03    Kester Tong Conformal Group in all Dimensions and Ward Identities N/A N/A
19.11.03 Alexander Klitz Ising model as conformal field theory N/A N/A
26.11.03 Lecture Conformal Field Theory N/A N/A
03.12.03 Dies Academicus N/A N/A
10.12.03 Stefan Förste Non-commutativity ala Seiberg-Witten N/A N/A
17.12.03 - - N/A N/A
07.01.04 Rainald Flume Cardy condition and implications N/A N/A
14.01.04 Julius Japs Chiral algebras N/A N/A
21.01.04 Jörg Pohle WZW models and D-branes N/A N/A
28.01.04 Win Nuding Maldacena conjecture ps ps
04.02.04 Xerxes Arsiwalla Matrix Models N/A N/A
 
 
Student Seminar SS 2003
 
Introduction to String Theory (Prof. Dr. H.-P. Nilles, Priv-Doz. Dr. S. Förste),
 
Date Speaker Title Slides Script
25.04. Patrick Vaudrevange The Bosonic String [ ps | pdf ] N/A
02.05. / 09.05. Felix Plöger An Introduction to Superstring Theory [ ps | pdf ] [ ps | pdf ]
16.05. / 23.05. Alexander Klitz Kaluza-Klein Theory, Torus Compactification and T-Duality [ tif ] N/A
30.05. Holger Weber Heterotic String Theory
06.06. Corinna Burghardt Introduction to Supersymmetry and Supergravity
20.06. / 27.06. Xerxes Arsiwalla Open Strings and D-Branes
11.07. Jörg Pohle Calabi-Yau Compactification of the Heterotic String
18.07. Markus Niemann Compactification on Manifolds with G_2 Holonomy
 
 
Exercises WS 2002/03
 
Theoretische Physik I (Prof. Dr. H.-P. Nilles)
 
Literaturliste Mechanik -> Download [ps][pdf]
 
> Nr. 1 [ps][pdf] <
Partielle und totale Ableitung, Zylinderkoordinaten, Kugelkoordinaten, effektives Potential
> Nr. 2 [ps][pdf] <
Bewegung im Zentralfeld, Kepler-Problem, Ellipsengleichung, epsilon-Tensor und doppeltes Kreuzprodukt, Erste und zweite kosmische Geschwindigkeit
> Nr. 3 [ps][pdf] <
Raketenproblem, Euler-Lagrange Gleichungen, Kondensation eines Wassertropfens, Snelliussches Brechungsgesetz, Problem der kürzesten Verbindung, Einfache Lagrangefunktionen
> Nr. 4 [ps][pdf] <
Das Problem der Dido, Teilchen in parabolischem Topf, Eigenfrequenzen und Eigenmoden, ein klassisches Qunatisierungsphänomen, Kettenlinie, Ein Modell für Kohlendioxid, Eine Lagrangefunktion der Elektrodynamik
> Nr. 5 [ps][pdf] <
Die Galileigruppe, Noether-Theorem, Ergänzung zum Noether-Theorem, Das massive Federpendel, Das Pendeln von Lasten an einem Kran, Herabrutschendes Seil
> Nr. 6 [ps][pdf] <
Freiheitsgrade, der starre Körper, Transformation des Kreuzproduktes, zweidimensionale Drehungen, Pendelnder Würfel, Billard, Jacobi-Determinante, ein Wagen auf der schiefen Ebene
> Nr. 7 [ps][pdf] <
Nachtrag zur Winkelgeschwindigkeit, Eulergleichung, Wurf eines Gegenstandes, zwei astronomische Perioden, Kommutatoren
> Nr. 8 [ps][pdf] <
Allgemeines zum Hamiltonformalismus, Poissonklammern, die Hamiltonfunktion der Elektrodynamik, Eigenschaften der Poissonklammer, Wiederholung der Mechanik
 
Literaturliste Elektrostatik -> Download [ps][pdf]
 
> Nr. 9 [ps][pdf] <
Eigenschaften der Deltadistribution, Greensche Funktion der Laplacegleichung, Greensche Funktion und Deltafunktion in R, Symmetrien der Laplacegleichung, Vektoranalysis, Greensche Theoreme
> Nr. 10 [ps][pdf] <
Elektrischer Dipol und Quadrupol, Punktladung vor einer Metallwand, Geladene Walze und geladenes Rohr, eine Konfiguration von Punktladungen, Punktladung außerhalb einer Metallkugel
> Nr. 11 [ps][pdf] <
Wiederholung der Mechanik, axiale und polare Vektoren, Laplace in Kugelkoordinaten, Kondensatoren, der Satz von Stokes
> Nr. 12 [ps][pdf] <
Zum Integralsatz von Gauß, Wiederholung Spiegelladungen
> Nr. 13 [ps][pdf] <
Eindeutigkeit des dritten Randwertproblems der Potentialtheorie, Legendresche Differentialgleichung, Legendrepolynome, Axialsymmetrische Ladungsverteilung
> Nr. 14 [ps][pdf] <
Kugelflächenfunktionen, Magnetfeld in stromdurchflossener Drahtschlinge, Checkliste Elektrostatik
 
 
Exercises WS 2001/02
 
Theoretical Elementary Particle Physics (Prof. Dr. H.-P. Nilles)
 
> Nr. 1 <
Elementary definitions and properties of groups and algebras; Representations of groups and algebras; SU(2) and SO(3)
HW: Groups, representations and algebras; SU(2) and SO(3) once again
> Nr. 2 <
The Lorentz group; Representations of the Lorentz group
HW: Spinors; C, P and T for spinors
> Nr. 3 <
More transformation properties of SU(N) spinors; The SU(3) quark model; Young tableauxs or product representations at Legoland
> Nr. 4 <
The free real scalar field; The free Dirac field
Spontaneous symmetry breakdown I/II (postponed!)
> Nr. 5 <
Spontaneous symmetry breakdown I; The Standard Model Higgs-effect; Spontaneous symmetry breaking II (*)
> Nr. 6 <
Gamma gymnastics and spinor identities; Kinematics; e+ e- annihilation
> Nr. 7 <
One-loop correction to the electric charge in QED
> Nr. 8 <
Quantum numbers of SU(5) Grand Unified Theory (GUT)
> Nr. 9 <
Review; Grassmann algebra
> Nr. 10 <
Supersymmetry transformations; Chiral superfields; Vectorsuperfields
> Nr. 11 <
Supersymmetric Gaugetheory; Gaugeinvariant Coupling; Supersymmetric Electrodynamics (SQED)
 
 
Exercises SS 2001
 
Introduction to Strings and Branes (Dr. S. Förste)
For questions or comments please contact Martin Walter.
 
> Nr. 1 <
Some metric calculus; Polyakov- vs. Nambu-Goto action;
Gaugefixing of the Polyakov action
> Nr. 2 <
Worldsheet supersymmetry; Lightcone quantization of the bosonic string
> Nr. 3 <
Type II superstrings
> Nr. 4 <
Toroidal compactification
> Nr. 5 <
The Buscher formulae
> Nr. 6 <
Enhanced gauge symmetries in toroidal compactifications; The S^1/Z_2 orbifold
> Nr. 7 <
Boundary conditions for open strings
> Nr. 8 <
Open strings in non-trivial backgrounds