Quantum Field Theory 1
A.Y. 2019/2020
Learning objectives
Provide an introduction to quantum field theory as a universal language to describe systems with infinite degrees of freedom.
Explain the necessity of field theory in the quantization of relativistic systems.
Introduce the basic rules for perturbative calculus in an interacting theory.
Explain the necessity of field theory in the quantization of relativistic systems.
Introduce the basic rules for perturbative calculus in an interacting theory.
Expected learning outcomes
At the end of the course the student must know:
a) Classical field theory: action principle and Euler Lagrange equations, Noether theorem and impulse energy tensor.
b) The quantization of fields, the canonical switching rules.
c) The Poincarè group and its representations. The scalar, spin 1/2 and spin 1 field.
d) Quantization through functional integral.
e) The perturbative calculation of the amplitudes: Wick theorem and Feynman rules.
f) The quantization of the fermion field. Grassmann algebra and Berezin integral.
g) The quantization of the gauge field. The ghosts of Faddev-Popov. Lattice quantization.
h) The renormalization of the phi ^ 4 theory. Regularization. Single-loop renormalization. Dimensional regularization.
a) Classical field theory: action principle and Euler Lagrange equations, Noether theorem and impulse energy tensor.
b) The quantization of fields, the canonical switching rules.
c) The Poincarè group and its representations. The scalar, spin 1/2 and spin 1 field.
d) Quantization through functional integral.
e) The perturbative calculation of the amplitudes: Wick theorem and Feynman rules.
f) The quantization of the fermion field. Grassmann algebra and Berezin integral.
g) The quantization of the gauge field. The ghosts of Faddev-Popov. Lattice quantization.
h) The renormalization of the phi ^ 4 theory. Regularization. Single-loop renormalization. Dimensional regularization.
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Lesson period
Second semester
Course syllabus
a) Classical field theory: action principle and Euler Lagrange equations, Noether theorem and impulse energy tensor.
b) The quantization of fields, the canonical switching rules.
c) The Poincarè group and its representations. The scalar, spin 1/2 and spin 1 field.
d) Quantization through functional integral.
e) The perturbative calculation of the amplitudes: Wick theorem and Feynman rules.
f) The quantization of the fermion field. Grassmann algebra and Berezin integral.
g) The quantization of the gauge field. The ghosts of Faddev-Popov. Lattice quantization.
h) The renormalization of the phi ^ 4 theory. Regularization. Single-loop renormalization. Dimensional regularization.
b) The quantization of fields, the canonical switching rules.
c) The Poincarè group and its representations. The scalar, spin 1/2 and spin 1 field.
d) Quantization through functional integral.
e) The perturbative calculation of the amplitudes: Wick theorem and Feynman rules.
f) The quantization of the fermion field. Grassmann algebra and Berezin integral.
g) The quantization of the gauge field. The ghosts of Faddev-Popov. Lattice quantization.
h) The renormalization of the phi ^ 4 theory. Regularization. Single-loop renormalization. Dimensional regularization.
Prerequisites for admission
Quantum mechanics for systems with a finite number of degrees of freedom.
Classical Filed Theory.
Relativity.
Group Theory.
Statistical Mechanics.
Classical Filed Theory.
Relativity.
Group Theory.
Statistical Mechanics.
Teaching methods
Standard (classroom)
Teaching Resources
M. Maggiore: A Modern Introduction to Quantum Field Theory; Oxford University Press, 2005 (testo di riferimento)
M.E. Peskin, D.V. Schroeder: An introduction to Quantum Field Theory; Addison-Wesley, 1995
S. Weinberg: The Quantum Theory of Fields: Vol. I (foundations); Cambridge University Press, 1995
A. Zee, Quantum Field Theory in a Nutshell; Princeton University Press, 2010
V. Radovanovic: Problem Book in Quantum Field Theory; Springer, 2007
M.E. Peskin, D.V. Schroeder: An introduction to Quantum Field Theory; Addison-Wesley, 1995
S. Weinberg: The Quantum Theory of Fields: Vol. I (foundations); Cambridge University Press, 1995
A. Zee, Quantum Field Theory in a Nutshell; Princeton University Press, 2010
V. Radovanovic: Problem Book in Quantum Field Theory; Springer, 2007
Assessment methods and Criteria
Written and oral
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS - University credits: 6
Lessons: 42 hours
Professor:
Caracciolo Sergio
Shifts:
-
Professor:
Caracciolo Sergio