7/25/2019 Advanced Qf t program

1/3

Prof. Dr. A.R.FAZIO

UNAL-Bogot

I semester 2012

Infrared problems in Quantum Electrodynamics

Soft bremsstrahlung in the annihilation of electron positron in muon

antimuon. The treatment of the infrared divergencies by dimensional

regularization. Evaluation of the electron vertex function by the

dimensional regularization . Cancellation of the infrared divergencies in the

cross section from bremsstralhung and vertex corrections. All orders

infrared divergencies cancellation.

Formal developments about radiative corrections in QuantumField theory.

Off shell Feynman diagrams: Green functions. Pole structure of the Green

functions. Field and mass renormalization: LSZ reduction formula,

propagator poles and no renormalization of the external lines.

Renormalization of the electric charge: Ward identites. Power counting and

renormalization.

Functional integral representation.

Functional integration for bosonic fields. Greens functions as functional

integrals. Fermionic functional integral. The S-matrix. Functional

quantization of the Quantum electrodynamics. Functional determinants.

Symmetries in the functional formalism. The quantum effective action.

Coleman Weinberg effective potential. The theory of linear response.

7/25/2019 Advanced Qf t program

2/3

Non-Abelian gauge theories

The geometry of gauge invariance. The Yang-Mills Lagrangian. The gauge

invariant Wilson loop. Basic facts about Lie algebras: classification of Lie

algebras, representations, the Casimir operators.. Functional quantization.

The method of De Wit Fadeev Popov. Ghost and unitarity. BRST

invariance. Quantum chromo-dynamics (QCD). Tree level un-polarized

cross section of gluons production in quark anti-quark annihilation in QCD.

One loop divergencies of Non Abelian gauge theories.

Renormalization group.

Momentum subtraction scheme and Callan-Symanzik equation. The

minimal subtraction scheme and its renormalization group equation.

Effective coupling constant. Asymptotic freedom.

Spontaneous breaking of a continuous symmetry.

Spontaneous symmetries breaking and masses. The Higgs mechanism. The

Standard Model. Masses for gauge bosons, Masses for hadrons and flavor-mixing. Masses for leptons. The scalar sector beyond tree level. The SU(2)

custodial symmetry. Anomalies.

Bibliography

Peskin, M. E. and Schroeder, D. V. An introduction to quantum field

theory

Lee, T. D. Particle physics and introduction to field theory

Itzykson, C. and Zuber, J.-B. Quantum Field Theory

Ramond, P. Field Theory

Zinn-Justin, J. Quantum field theory and critical phenomena

Weinberg, S. The quantum theory of fields, vol I, II

Collins, J. C. Renormalization.

Cheng, Li Gauge theory of elementary particle physics, Oxford

science publication.

Cheng, Li Gauge theory of elementary particle physics Problems and

solutions, Oxford science publication.

Sredniki Quantum field theory, Cambridge.

Nair, Quantum field theory a modern perspective, Springer

G. Ridolfi, An introduction to the Standard model of the electroweak

interactions.

7/25/2019 Advanced Qf t program

3/3

M. Sredenicki, Quantum field theory, Cambridge Un. Press.

G. Sterman, An introduction to quantum field theory, Cambridge Un.

Press.

Bardin, Passarino, The standard model in the making, Oxford

Muta, Foundation of quantum chromodynamics, World scientific

R.K. Ellis, W.J. Stirling, B.R. Webber, QCD and collider Physics,

CambridgeA.M. Schakel, Boulevard of broken symmetries, World scientific

Times and Venue

Wed . and fri. 16-18Building 405 venue 215

Exams

The process of evaluation will consist of three written exams consisting in assignments

to be returned on the dates

March 30

May 15

Jun 15

Horario de atencin

At any time.