Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

Particles and fields I - NJSF134

Title:	Částice a pole I
Guaranteed by:	Institute of Particle and Nuclear Physics (32-UCJF)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2015
Semester:	winter
E-Credits:	5
Hours per week, examination:	winter s.:2/2, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	Mgr. Tomáš Sýkora, Ph.D.
Is incompatible with:	NJSF137

Annotation -

Last update: T_UCJF (15.04.2011)

Alternative to NJSF079. For undergraduates (if NJSF068,069 or equivalent successfully finished) and graduates.

Course completion requirements -

Last update: Mgr. Tomáš Sýkora, Ph.D. (12.06.2019)

Oral exam combined with one problem to solve.

Literature -

Last update: Mgr. Tomáš Sýkora, Ph.D. (12.05.2019)

An Introduction To Quantum Field Theory; Michael E. Peskin, Dan V. Schroeder; Westview Press

Quantum Field Theory;Jean-Bernard Zuber, Claude Itzykson; Dover Publications

The Quantum Theory of Fields I-III; Steven Weinberg; Cambridge University Press

Gauge Theory of elementary particle physics; Ta-Pei Cheng, Ling-Fong Li; Oxford University Press

Requirements to the exam -

Last update: Mgr. Tomáš Sýkora, Ph.D. (12.06.2019)

Oral exam, consisting of solving one assigned problem and three questions connected with topics mentioned in the lecture syllabus.

Syllabus -

Last update: T_UCJF (17.05.2011)

Winter semester:

gauge transformation, gauge group, spatial and inner symmetries, unitary symmetry, isospin, represenation of SU(n), quark model

SU(1) (abelian) gauge theory - global and local gauge invariance, Bohm-Aharon effect and Dirac phase, spontaneous symmetry breaking, classical solutions with final energy, magnetic flux quantization, soliton solutions and vortices

SU(n) (non-abelian) gauge theory - Li groups and algebras, global and local gauge invariance, topological properties, abelian and non-abelian monopols, Dirac string, symmetry breaking, soliton solutions

loop space formulation of gauge theories - homotopic group, differential forms and calculus, cohomology, fibre bundles, covariant derivative and holonomy