Fisica | THEORY OF FIELDS

cod. 0522600022

THEORY OF FIELDS

	0522600022
	DIPARTIMENTO DI FISICA "E.R. CAIANIELLO"

	PHYSICS
	2014/2015

PERCORSO COMUNE

	YEAR OF COURSE 1
	YEAR OF DIDACTIC SYSTEM 2014
	SECONDO SEMESTRE

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	FIS/02	6	48	LESSONS	SUPPLEMENTARY COMPULSORY SUBJECTS

PROFESSORS

	MASSIMO BLASONE T Curriculum
	GIUSEPPE VITIELLO Curriculum

	Objectives
	THE GOAL OF THE COURSE IS TO PROVIDE BASICS OF QUANTUM FIELD THEORY, WHICH IS THE FRAMEWORK IN WHICH THE STANDARD MODEL OF THE FUNDAMENTAL INTERACTIONS IS FORMULATED.

	Prerequisites
	LAUREA TRIENNALE. THE COURSE IS ADDRESSED TO THE STUDENTS WITH CURRICULA ORIENTED TO THE HIGH ENERGY PHYSICS AND COSMOLOGY, AS WELL AS TO THE 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 LAUREA TRIENNALE.

	Contents
	INTRODUCTION. STRUCTURE OF QFT, HISTORY OF QFT. ELEMENTS OF ALGEBRA AND GROUP THEORY. LORENTZ GROUP. REPRESENTATIONS OF LORENTZ AND POINCARE GROUPS HAMILTONIAN E LAGRANGIAN FORMULATION FOR CONTINUOUS SYSTEMS. NOETHER'S THEOREM. CANONICAL QUANTIZATION: PROCEDURE. HARMONIC OSCILLATOR. EKLEIN GORDON EQUATION. QUANTIZATION OF REAL KG FIELDS.PARTICLE INTERPRETATION, MICROSCOPIC CAUSALITY, SIMMETRY OF STATES, VACUUM FLUCTUATIONS, PROPAGATOR. QUANTIZION OF COMPLEX KG FIELD, CHARGE, INTERPRETATION. DIRAC EQUATION: PROPERTIES OF GAMMA MATRICES, RELATIVISTIC INVARIANCE, ANGULAR MOMENTUM AND SPIN, SOLUTIONS, INTERPRETATION. QUANTIZION OF DIRAC FIELD, PROPAGATOR. ELECTROMAGNETIC FIELD: COVARIANT FORMULATION, QUANTIZATION AND PROBLEMS. QUANTIZATION A LA GUPTA-BLEULER. INTERPRETATION. INTERACTING FIELDS. S MATRIX. REDUCTION FORMULAE. PERTURBATION THEORY. U MATRICX. WICK'S THEOREM. FEYNMAN DIAGRAMS. GAUGE THEORIES. GAUGE TRANSFORMATIONS. YANG-MILLS THEORIES. VON NEUMANN THEOREM. INEQUIVALENT REPRESENTATIONS. BOSONIC CONDENSATION. COHERENT STATES. SPONTANEOUS SYMMETRY BREAKDOWN. GOLDSTONE THEOREM. HIGGS MECHANISM. STANDARD MODEL. FUNCTIONAL CALCULUS. PATH INTEGRAL IN QUANTUM MECHANICS. FUNCTIONAL GENERATOR. LAMBD PHI^4 THEORY. FUNZIONAL GENERATOR FOR FERMIONS. GRASSMANN VARIABLES. RENORMALIZATION: INTRODUCTION.

INTRODUCTION. STRUCTURE OF QFT, HISTORY OF QFT. ELEMENTS OF ALGEBRA AND GROUP THEORY. LORENTZ GROUP. REPRESENTATIONS OF LORENTZ AND POINCARE GROUPS
HAMILTONIAN E LAGRANGIAN FORMULATION FOR CONTINUOUS SYSTEMS. NOETHER'S THEOREM. CANONICAL QUANTIZATION: PROCEDURE. HARMONIC OSCILLATOR.
EKLEIN GORDON EQUATION. QUANTIZATION OF REAL KG FIELDS.PARTICLE INTERPRETATION, MICROSCOPIC CAUSALITY, SIMMETRY OF STATES, VACUUM FLUCTUATIONS, PROPAGATOR. QUANTIZION OF COMPLEX KG FIELD, CHARGE, INTERPRETATION.
DIRAC EQUATION: PROPERTIES OF GAMMA MATRICES, RELATIVISTIC INVARIANCE, ANGULAR MOMENTUM AND SPIN, SOLUTIONS, INTERPRETATION.
QUANTIZION OF DIRAC FIELD, PROPAGATOR. ELECTROMAGNETIC FIELD: COVARIANT FORMULATION, QUANTIZATION AND PROBLEMS. QUANTIZATION A LA GUPTA-BLEULER. INTERPRETATION.
INTERACTING FIELDS. S MATRIX. REDUCTION FORMULAE. PERTURBATION THEORY. U MATRICX. WICK'S THEOREM. FEYNMAN DIAGRAMS.

GAUGE THEORIES. GAUGE TRANSFORMATIONS. YANG-MILLS THEORIES. VON NEUMANN THEOREM. INEQUIVALENT REPRESENTATIONS. BOSONIC CONDENSATION. COHERENT STATES. SPONTANEOUS SYMMETRY BREAKDOWN. GOLDSTONE THEOREM. HIGGS MECHANISM. STANDARD MODEL.
FUNCTIONAL CALCULUS. PATH INTEGRAL IN QUANTUM MECHANICS. FUNCTIONAL GENERATOR. LAMBD PHI^4 THEORY. FUNZIONAL GENERATOR FOR FERMIONS. GRASSMANN VARIABLES.
RENORMALIZATION: INTRODUCTION.

	Teaching Methods
	LECTURES. SEMINARS ON SPECIALISTIC SUBJECTS. CLASS DISCUSSIONS. EXERCISES.

	Verification of learning
	THE STUDENT IS OBLIGED TO FOLLOW THE LECTURES AND INCOURAGED TO PARTICIPATE WITH HIS CONTRIBUTIONS TO THE DISCUSSIONS DURING THE PRESENTATIONS OF SPECIALISTIC SUBJECTS. HE MUST ALSO PARTICIPATE ACTIVELY TO THE EXERCISE SOLUTION CLASSES AND SHOW HIS CAPABILITY IN PROBLEM SOLVING. THE STUDENT IS REQUIRED TO BE ABLE TO EXPOSE IN CLEAR AND SYNTETIC MANNER THE MATTER PRESENTED DURING THE LECTURES AND TO FORMULATE AUTONOMOUS JUDJEMENTS. THE PERMANENT INTERACTION WITH THE STUDENT AND THE COMMON DISCUSSIONS DURING THE LECTURES ALLOWS A NON SUPERFICIAL JUDGEMENT OF THE STUDENT PREPARATION. THE FINAL ORAL EXAMINATION.

Verification of learning

THE STUDENT IS OBLIGED TO FOLLOW THE LECTURES AND INCOURAGED TO PARTICIPATE WITH HIS CONTRIBUTIONS TO THE DISCUSSIONS DURING THE PRESENTATIONS OF SPECIALISTIC SUBJECTS. HE MUST ALSO PARTICIPATE ACTIVELY TO THE EXERCISE SOLUTION CLASSES AND SHOW HIS CAPABILITY IN PROBLEM SOLVING. THE STUDENT IS REQUIRED TO BE ABLE TO EXPOSE IN CLEAR AND SYNTETIC MANNER THE MATTER PRESENTED DURING THE LECTURES AND TO FORMULATE AUTONOMOUS JUDJEMENTS.
THE PERMANENT INTERACTION WITH THE STUDENT AND THE COMMON DISCUSSIONS DURING THE LECTURES ALLOWS A NON SUPERFICIAL JUDGEMENT OF THE STUDENT PREPARATION. THE FINAL ORAL EXAMINATION.

	Texts
	W.GREINER, J.REINHARDT, FIELD QUANTIZATION; F.MANDL, G.SHAW, QUANTUM FIELD THEORY; C.ITZYKSON, J-B.ZUBER, QUANTUM FIELD THEORY.

	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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