# Fisica | THEORY OF FIELDS

## Fisica THEORY OF FIELDS

 0522600022 DIPARTIMENTO DI FISICA "E.R. CAIANIELLO" EQF7 PHYSICS 2017/2018

 YEAR OF COURSE 1 YEAR OF DIDACTIC SYSTEM 2017 SECONDO SEMESTRE
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY FIS/02 6 48 LESSONS SUPPLEMENTARY COMPULSORY SUBJECTS
 GIUSEPPE VITIELLO T
Objectives
KNOWLEDGE AND UNDERSTANDING:
THE COURSE AIMS TO PROVIDE AN INTRODUCTION TO QUANTUM FIELD THEORY, STARTING FROM THE QUANTIZATION OF FREE FIELDS AND ENDING UP WITH THE PROBLEM OF INTERACTING QUANTUM FIELDS. SOME ELEMENTS OF QUANTIZATION VIA FUNCTIONAL INTEGRATION AND RENORMALIZATION 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 THE 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. MOREOVER, STUDENTS ARE EXPECTED TO ACQUIRE THE INSTRUMENTS NECESSARY TO READ AND COMPREHEND CURRENT LITERATURE IN QUANTUM FIELD THEORY, IN PARTICLE PHYSICS AS WELL AS IN CONDENSED MATTER PHYSICS AND QUANTUM OPTICS.
Prerequisites
IT IS REQUIRED A SUITABLE KNOWLEDGE OF QUANTUM MECHANICS, WITH A SPECIAL ATTENTION TO ITS UNDERLYING MATHEMATICAL ASPECTS. THE COURSE IS ADDRESSED TO STUDENTS WITH CURRICULA ORIENTED TO THE HIGH-ENERGY PHYSICS AND COSMOLOGY, AS WELL AS TO ONES WITH CURRICULA ORIENTED TO CONDENSED MATTER AND SOLID STATE PHYSICS, QUANTUM OPTICS, ASTROPHYSICS AND ASTRONOMY. THE REQUIRED MATHEMATICAL KNOWLEDGE IS THE ONE RECEIVED IN THE COURSES OF THE THREE-YEAR DEGREE (LAUREA TRIENNALE).
Contents
CANONICAL QUANTIZATION. NONRELATIVISTIC QUANTUM FIELD THEORY. FIELD OF KEIN-GORDON, DIRAC, MAXWELL, PROCA. QED. INTERACTING FIELDS. FEYNMAN GRAPHS.REDUCTION FORMALISM. SPONTANEOUS BREAKDOWN OF SYMMETRY. GOLDSTONE THEOREM. ANDERSON-HIGGS-KIBBLE MECHANISM.FUNCTIONAL INTEGRATION. NOTIONS OF RENORMALIZATION THEORY. NONPERTURBATIVE PHYSICS. UNITARILY INEQUIVALENT REPRESENTATIONS. BOSON CONDENSATION, CHOERENT STATES IN QFT.
Teaching Methods
FRONTAL LESSONS, DISCUSSIONS, EXERCISES.
Verification of learning
ORAL EXAMINATIONS, SOLVING PROBLEMS.
Texts
W. GREINER, J.REINHARDT, FIELD QUANTIZATION, SPRINGER, BERLIN 1996.
M.BLASONE, P.JIZBA, G.VITIELLO, QUANTUM FIELD THEORY AND ITS MACROSCOPIC MANIFESTATIONS, IMPERIAL COLLEGE PRESS, LONDON 2011.
CURRENT LITERATURE PAPERS IN THEORETICAL PHYSICS.
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