THEORY OF FIELDS

International Teaching THEORY OF FIELDS

0522600022
DEPARTMENT OF PHYSICS "E. R. CAIANIELLO"
EQF7
PHYSICS
2021/2022

YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2021
SECONDO SEMESTRE
CFUHOURSACTIVITY
648LESSONS
Objectives
KNOWLEDGE AND UNDERSTANDING:
THE COURSE AIMS TO PROVIDE AN INTRODUCTION TO QUANTUM FIELD THEORY, STARTING FROM THE QUANTIZATION OF FREE FIELDS, UP TO THE PROBLEM OF INTERACTING QUANTUM FIELDS. SOME ELEMENTS OF QUANTISATION VIA FUNCTIONAL INTEGRATION AND RENORMALISATION WILL ALSO BE GIVEN.

APPLYING KNOWLEDGE AND UNDERSTANDING:
THE COURSE AIMS TO MAKE STUDENTS ABLE TO UNDERSTAND AT AN ADVANCED LEVEL THE THEORETICAL FRAMEWORK IN WHICH STANDARD MODEL OF FUNDAMENTAL INTERACTIONS IS FORMULATED AND TO BE ABLE TO CALCULATE QUANTITIES OF PHYSICAL RELEVANCE BY USING THE METHODS AND TECHNIQUES OF QUANTUM FIELD THEORY.
Prerequisites
A GOOD KNOWLEDGE OF THE ARGUMENTS STUDIED DURING THE THREE-YEAR DEGREE (LAUREA TRIENNALE DI PRIMO LIVELLO) IS REQUIRED, WITH A SPECIAL ATTENTION TO QUANTUM MECHANICS.

IT IS ALSO REQUIRED THE KNOWLEDGE OF THE ARGUMENTS TREATED IN THE COURSES METODI MATEMATICI PER LA FISICA, FISICA TEORICA (LAUREA MAGISTRALE).
Contents
INTRODUCTION. STRUCTURE OF QFT (8 H),
HISTORY OF QFT. ELEMENTS OF ALGEBRA AND GROUP THEORY. LORENTZ GROUP. REPRESENTATIONS OF LORENTZ AND POINCARE GROUPS
NOETHER'S THEOREM.

CANONICAL QUANTIZATION (22 H)
PROCEDURE. QUANTIZATION OF REAL KG FIELD.PARTICLE INTERPRETATION, MICROSCOPIC CAUSALITY, SIMMETRY OF STATES, VACUUM FLUCTUATIONS, PROPAGATOR. QUANTIZION OF COMPLEX KG FIELD, CHARGE, INTERPRETATION.
QUANTIZATION OF DIRAC FIELD, PROPAGATOR. ELECTROMAGNETIC FIELD: COVARIANT FORMULATION, QUANTIZATION AND PROBLEMS. QUANTIZATION A LA GUPTA-BLEULER. INTERPRETATION.
QUANTIZATION OF PROCA FIELD.

INTERACTING FIELDS (10 H).
S MATRIX. REDUCTION FORMULAE. PERTURBATION THEORY. U MATRIX. WICK'S THEOREM. FEYNMAN DIAGRAMS.
LSZ FORMALISM. SPECTRAL FUNCTION.

OTHER TOPICS (8 H).
FUNCTIONAL CALCULUS. PATH INTEGRAL IN QUANTUM MECHANICS. FUNCTIONAL INTEGRALS. LAMBD PHI^4 THEORY. FUNCTIONAL GENERATOR FOR FERMIONS. GRASSMANN VARIABLES.
ELEMENTS OF RENORMALIZATION, INEQUIVALENT REPRESENTATIONS, VON NEUMANN THEOREM.
Teaching Methods
FRONT LESSON CLASSES. THE STUDENT IS OBLIGED TO FOLLOW THE LECTURES AND TO PARTICIPATE WITH HIS CONTRIBUTIONS TO THE DISCUSSIONS DURING THE PRESENTATIONS OF SPECIALISTIC SUBJECTS. THE PERMANENT INTERACTION WITH THE STUDENT AND THE COMMON DISCUSSIONS DURING THE LECTURES ALLOWS A NON SUPERFICIAL JUDGEMENT OF THE STUDENT PREPARATION IN ITINERE.
Verification of learning
THE FINAL ORAL EXAMINATION IS BASED ON A DISCUSSION ABOUT THE TOPICS TREATED IN THE LECTURES, WITH THE AIM OF VERIFYING THE LEVEL OF UNDERSTANDING OF THE TREATED ARGUMENTS. IT IS ALSO REQUIRED THAT THE STUDENT EXPOSES THE ARGUMENTS IN A CLEAR AND EXHAUSTIVE WAY AND DEMONSTRATES ABILITY OF CRITICAL AUTONOMOUS JUDGMENT.

THE ASSESSMENT LEVEL OF THE EXAMINATION MAY VARY FROM A MINIMUM SCORE TO A MAXIMUM. THE MINIMUM EVALUATION LEVEL (18/30) IS ATTRIBUTED IN THE CASE OF UNCERTAINTIES IN THE PRESENTATION AND OF A LIMITED KNOWLEDGE OF THE MAIN TOPICS OF THE PROGRAM.

THE MAXIMUM LEVEL (30/30) IS ATTRIBUTED HOWEVER WHEN THE STUDENT SHOWS COMPLETE KNOWLEDGE OF THE ARGUMENTS AND IS ABLE TO SOLVE THE PROBLEMS PROPOSED DURING THE EXAM.

FINALLY THE "LAUDE" IS ATTRIBUTED WHEN THE CANDIDATE SHOWS SIGNIFICANT MASTERRY OF THE CONTENTS OF THE PROGRAM AND IS ABLE TO EXPOSE THE TOPICS WITH SIGNIFICANT LANGUAGE PROPERTY AND AUTONOMOUS PROCESSING CAPACITY EVEN IN CONTEXTS DIFFERENT FROM THOSE PROPOSED BY THE PROFESSOR.
Texts
W.GREINER, J.REINHARDT, FIELD QUANTIZATION;
L.H.RYDER, QUANTUM FIELD THEORY;
T.P.CHENG, L.F.LI, GAUGE THEORY OF ELEMENTARY PARTICLE PHYSICS;
C.ITZYKSON, J-B.ZUBER, QUANTUM FIELD THEORY.
M. BLASONE, P. JIZBA AND G. VITIELLO, "QUANTUM FIELD THEORY AND ITS MACROSCOPIC MANIFESTATIONS", IMPERIAL COLLEGE PRESS, LONDON 2011
More Information
THE STUDENT IS INVITED TO CONTACT THE PROFESSOR ANY TIME HE FEELS IT IS NECESSARY. THROUGH THE E-MAIL CONTACT THE STUDENT MAY ASK TO BE RECEIVED ALSO IN DAYS AND HOURS NOT INCLUDED IN THE RECEPTION TIME SCHEDULE.
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