Quantum
Field Theory-I, Spring 2010
Announcement:
Note 9 and a new homework are
posted on July 1.
Time: Tue. 10:10-11:00, Thu. 10:10-12:00
Classroom:
Room 504, Physics
Lecturer: Ling-Fong Li
(§õÆF®p)
e-mail: < lfli_AT_cmu_edu >
References:
(1)
T. P Cheng
and L. F. Li, ¡§Gauge Theory of Elementary Particle
Physics¡¨, Oxford University Press (1984).
(2)
M. Peskin and
D. Schroeder, ¡§An Introduction to Field
Theory¡¨, Addison-Wesley (1995).
(3)
S. Weinberg,
¡§Quantum Field Theory¡¨ Volume 1, (Cambridge
University Press) (1995).
(4)
M. Srednicki,
¡§Quantum Field Theory¡¨, (Cambridge University
Press) (2007).
Grading Policy:
Homework (100% )
Homework:
Syllabus:
This course will include
the following topics:
Part I
Quantization of Field Theory
(1)
Preliminaries
a)
Klein-Gordon Equation
b)
Dirac Equation
c)
Lorentz Group and its Representation <>
(2)Canonical Quantization
a)
Scalar Field
b)
Fermion Field
c)
Electromagnetic Field
d)
Noether¡¦s Theorem
3)
(3)Path Integral Quantization
4)
(4) Interaction Theory and Feynman Rule
Part
II Theory of Renormalization
(1)Renormalization in £f£p4 theory
a)
Regularization schemes
b)
Counter terms & BPH scheme
c)
Power counting and renormalizability<>
(2)Renormalization
group
a)
Callan-Symanzik equation
b)
Renormalization equation in dimensional regularization
c)
Effective coupling constant
Part
III Symmetry
(1)Global symmetry
a)
Conservation laws
b)
Symmetry and renormalization
c)
Anomaly
(2)
Local symmetry
a)
Abelian gauge symmetry
b)
Non-abelian symmetry
c)
Quantization of gauge theories
(3)
Spontaneous symmetry breaking
a)
Global spontaneous symmetry breaking
b)
Local spontaneous symmetry breaking
(4)
Standard model of eletroweak interactions
(5) QCD
(6)Spontaneous
symmetry breaking
a)
Goldstone
theorem
b)
Higgs
phenomena
Part
IV Standard Model of Electroweak Interaction
(1)Construction
of SU(2) X U(1) theory
a)
Weak
interaction before gauge theory
b)
Choice of the
group and tree unitarity
c)
Gauge theory
with leptons
d)
Quarks masses
and mixing
(2)Phenomenology
of Standard Model
a)
Neutral
current reactions
b)
W and Z gauge
bosons
c)
Neutrino
oscillations
d)
Higgs particle
Part V Theory
of Strong Interaction--Quantum Chromodynamics
(1)Parton
Model and Scaling
a)
Deep
inelastic scattering
b)
Bjorken
scaling and light cone behavior
c)
Parton model
and scaling
(2)
QCD
a)
Quark Model
and color symmetry
b)
Asymptotic
freedom and Non-Abelian theory
c)
QCD Lagrangian
d)
Renormalization
group analysis of scaling and scaling
violation
e)
Quarkonium
Lecture Note:
Syllabus
Course Log
and Video Clips( in .flv format):
- Feb.23:
(Note 01) Introduction: necessity of field theory in relativistic
system, gauge principle.
- Feb.25-1,
Feb.25-2:
(Note 01) natural unit, Lorentz transformation.
- Mar.2:
(Note 01) Action Principle: particle mechanics and field theory.
- Mar.4-1,
Mar.4-2
: (Note 01) Symmetry and Noether's theorem. (Note 02) Klein-Gordon
Equation.
- Mar.9:
(Note 02) Dirac Equation.
- Mar.11-1(clip not available due to technical problem), Mar.11-2
:(Note 02) Dirac Equation, Lorentz group and representations.
- Mar.16:
hole theory, (Note 03) Quantization of Klein-Gordon field.
- Mar.18-1,
Mar.18-2:
(Note 03) Quantization of Klein-Gordon field, Dirac field and EM
field.
- Mar.23:
(Note 03) Quantization of Electromagnetic fields.
- Mar.25-1,2,3:
(Note 03) Quantization of Electromagnetic fields, (Note 04) interacting
fields.
- Mar.30:
(Note 04) interacting fields:
in-fields.
- Apl.6:
(Note 04) interacting fields:
in-fields, out-fields, and S-matrix.
- Apl.
8-1, 8-2:
(Note 04) interacting fields: LSZ reduction, U-matrix, Dyson series.
- Apl.13:
Discussion on Homework02.
- Apl.15-1,
15-2:
(Note 04) U-matrix, Wick's theorem, propagators, graphic
representation, decay rate, cross section.
- Apl.20:
(Note 05) Path integral method.
- Apl.22-1,
22-2:
(Note 05) Path integral method of scalar field.
- Apl.27:
(Note 05) Path integral method, Grassmann algebra.
- Apr.29-1,
29-2:
Discussion on homework03, Renormalization.
- May 4:
(note 06) Renormalization.
- May 6-1,
6-2:
(note 06) Renormalization.
- May 11: No class
- May 13-1,
13-2:
(note 06b) Renormalization, regularization.
- May 18:
(note 06b) Renormalization, regularization.
- May 20-1,
20-2:
Discussion on homework04, (note 06b) power counting.
- May 25:
(note 06) Renormalization
group.
- May 27-1,
27-2:
(note 06) Renormalization group equation, beta function, running
coupling.
- Jun 1:
(note 07) Group theory.
- Jun 3-1,
3-2:
(note 07) Group theory.
- Jun 8:
(note 07) Group theory.
- Jun 10-1,
10-2:
(note 07) Gauge theory.
- Jun 15:
(note 07) Gauge theory.
- Jun 17-1,
17-2:
Discussions on HW05, (note 07) Spontaneous Symmetry Breaking.
- Jun 22:
(note 07) Spontaneous Symmetry Breaking.
- Jun 24-1,
24-2:
(note 08) Standard Model: Weak interaction before gauge theory.
- Jun 29-1,
29-2:
(note 08) Standard Model: Weinberg-Salam theory ( SU(2) x U(1) ).
- July 1-1,
1-2:
(note 08) Standard Model: Higgs mechanism in Weinberg-Salam theory,
quark mixing
- July 6-1,
6-2:
(note 08) Standard Model: phenomenology: W, Z,
Higgs, neutrino oscillations, structure of proton(form factor).
- July 8-1,
8-2:
(note 09) Standard Model: QCD: structure
of proton: Deep inelastic ep scattering, Bjorken scattering,
parton model.
- July 13-1,
13-2:
(note 09) Standard Model: QCD: Isospin symmetry
(SU(2) and SU(3)), quark model, color degree of freedom.
- July 15-1,
15-2:
(note 09) Standard Model: QCD: Gell-Mann Okubo mass formula, SU(3)
color gauge theory, Asymptotic freedom, quark confinement.
- July 29-1,
29-2:
(note 10) Quantization of Gauge Theory.
since March
3, 2010
myob
courses