MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
March 2, 2008
LECTURE NOTES 2
NOTES ON THE EULER-MACLAURIN
SUMMATION FORMULA
These notes are intended to supplement the Casimir eect proble
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
April 7, 2008
PROBLEM SET 7
REFERENCES: Lecture Notes 6: Path Integrals, Greens Functions, and Gener
ating Functions, on the website. Peski
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
February 16, 2008
LECTURE NOTES 1
QUANTIZATION OF THE FREE SCALAR FIELD
As we have already seen, a free scalar eld can be described by the
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
April 17, 2008
PROBLEM SET 8
DESCRIPTION: This problem set contains only the three problems held over
from the previous problem set. Howeve
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
March 13, 2008
INFORMAL NOTES
DIRAC DELTA FUNCTION AS A DISTRIBUTION
Why the Dirac Delta Function is not a Function:
The Dirac delta functi
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
March 3, 2008
INFORMAL NOTES
DISTRIBUTIONS AND THE FOURIER TRANSFORM
Basic idea:
In QFT it is common to encounter integrals that are not we
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
March 23, 2008
PROBLEM SET 6
Corrected Version
REFERENCES: Lecture Notes #5: Path Integrals for One-particle Quantum Me
chanics, on the web
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
March 4, 2008
PROBLEM SET 4
REFERENCES: Lecture Notes #3: Distributions and the Fourier Transform, on
the website.
Problem 1: Evaluation of
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
February 10, 2008
PROBLEM SET 1
Corrected Version
REFERENCES: Peskin and Schro eder, Sections 2.1 and 2.2.
Problem 1: The energy-momentum t
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
February 28, 2008
PROBLEM SET 3
REFERENCES: You may want to look at Quantum Field Theory: From Operators
to Path Integrals, by Kerson Huan
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
April 2, 2008
LECTURE NOTES 6
PATH INTEGRALS, GREENS FUNCTIONS,
AND GENERATING FUNCTIONALS
In these notes we will extend the path integral
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
May 7, 2008
PROBLEM SET 10
REFERENCES: Peskin and Schro eder, Sec. 3.6, Secs. 4.1-4.6, in addition to
lecture slides that will be posted.
P
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
March 13, 2008
PROBLEM SET 5
REFERENCES: Lecture Notes #4: Dirac Delta Function as a Distribution, on
the website. Peskin and Schroeder, Se
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.323: Relativistic Quantum Field Theory I
Prof. Alan Guth
February 16, 2008
PROBLEM SET 2
REFERENCES: Peskin and Schro eder, Section 2.3 and part of 2.4, through p. 29. Also
Lecture Notes 1 (or Lec