PHY6648: Quantum Field Theory I

This course is the first semester of a three semester course on modern quantum field theory and the standard model of elementary particles. Although the course is mandatory for students interested in high energy particle physics, it should also be valuable to students of other specialties including condensed matter physics and atomic and molecular physics. For example, in the first semester we shall develop, in our treatment of the Dirac equation, the technique of second quantization so useful in many body theory. Furthermore, the emphasis of the whole course is on Quantum Electrodynamics, which is essential to an understanding of all areas of physics. Quantum Field Theory I is the natural continuation of the graduate quantum mechanics courses PHY6645-46.

PHZ6358: Standard Model of Elementary Particles I/ Quantum Field Theory II

This course is the second semester of quantum field theory and the standard model. The first part of the course will deal with 1 loop Quantum Electrodynamics (QED) and its renormalization. Then nonabelian gauge theory will be introduced with applications in QCD the gauge theory of strong interactions. The gauge group of the standard model will be presented. Spontaneous breaking of global symmetries will be introduced with first applications to chiral symmetry breaking and pions as Goldstone bosons. Then spontaneous breaking of local (i.e. Gauge) symmetries will be discussed with application to the electroweak sector of the standard model.

PHZ7359: Standard Model of Elementary Particles II and Quantum Field Theory II

Continuation of PHZ6358.

Course Information:

Below are links to course information, a syllabus, a convention and formula sheet, and my lecture notes.

Class and contact Information

Our grader:TBD


Announcements, Spring2019

  • The first problem set 1 has now been posted. The due date is Friday 18 January 2019.
  • Problem Set 2 posted 17 January 2019. The due date is 25 January 2019.
  • Solution Set 1 posted 22 January 2019. I posted solutions early because everyone handed in their complete solutions on the due date. Normally solutions will be posted one week after the due date.
  • Problem Set 3 posted 24 January 2019. The due date is 1 February 2019.
  • Solution Set 2 posted 29 January 2019. Again all sets were handed in on time!
  • Problem Set 4 posted 31 January 2019. The due date is 8 February 2019.
  • Updated lecture notes posted 4 February 2019.
  • Problem Set 5 posted 8 February 2019. The due date is 15 February 2019.
  • Solution Sets 3 and 4 posted 9 February 2019.
  • Problem Set 6 posted 15 February 2019. The due date is 22 February 2019.
  • Problem Set 7 posted 21 February 2019. The due date is 1 March 2019.
  • Solution Set 5 posted 23 February 2019.
  • Problem Set 8 posted 1 March 2019. The due date is 15 March 2019.
  • Solution Sets 6 and 7 posted 2 March 2019.
  • Problem Sets 6 and 7 are graded and may be picked up in my office during spring break. During the break I will try to be in my office most afternoons after 2:30 pm. Please stop by or email me if you would like to set up an appointment.
  • I have to cancel my morning office hour (11:45-12:35) next Wednesday, 20 March 2019. I will meet the afternoon office hour (4-5pm) as usual. Monday and Friday office hours next week will meet as usual.
  • Problem Set 9 posted 14 March 2019. The due date is 22 March 2019.
  • Solution Set 8 posted 22 March 2019.
  • Problem Set 10 posted 23 March 2019. The due date is 29 March 2019.<
  • Problem Set 11 posted 29 March 2019. The due date is 5 April 2019.
  • Solution Set 9 posted 31 March 2019.
  • I have to cancel our 11:45 office hour today (Wednesday). The office hour after class and on Friday morning will be held as usual. Remember you can stop by my office at any time for assistance.
  • An error in Problem 41 of problem set 11 has been corrected. In some of the formulas $\Omega$ should be replaced by its inverse, as shown in the revised problem set.
  • Problem Set 12 posted 4 April 2019. The due date is 12 April 2019.
  • The equation number referred to in problem 46a) of Set 12 should be (10.28) NOT (10.38). The posted HW has now been corrected.
  • Solution Set 10 posted 10 April 2019.
  • Problem Set 13 posted 10 April 2019. The due date is 24 April 2019 (the last day of class!).
  • Typo in problem 45b of Set 12: The denominator inside the integral on the right should be raised to the power $n$ NOT the power 2!
  • Faculty Course evaluations will be conducted entirely on line. They open 13 April 2019 and will continue until 26 April 2019. These evaluations provide very important feedback, so it is essential that we all do our best to maximize the number of responses. You can access the evaluation form at your leisure from the web site: https://evaluations.ufl.edu/evals/ where you can find instructions and links to a gatorlink login page. It is probably a good idea if you bookmark the page so you can easily find it in the future.
  • Solution Set 11 posted 16 April 2019.
  • Solution Set 13 posted 25 April 2019.
  • Information for the final examination, scheduled for 1 May 2019, 12:30-2:30pm in our classroom. It will be a closed book examination, no electronic devices permitted. The formula sheet Conventions and Useful Formulae will be included with the examination booklet. The exam will consist of 4 questions: one on symmetries of the Dirac equation, one on vacuum polarization, one on gauge invariance of Feynman diagrams, and one simple cross section calculation.
  • The final exam has been graded, and you may pick them up in my office. Statistics: Average=76, Median=85.
  • Statistics for total course scores: Average=85, Median=86. Grade assignments: 90-100 A; 80-89 A-; 60-79 B+.

    Homework Assignments

    In the homework assignments, I will refer to problems in Srednicki's book by prefixing the problem number with S. Note that there are many problems in his book which ask the reader to fill in gaps in the preceding discussion (e.g. S 2.1 through 2.7). I will generally not assign such problems to be graded, but you should nonetheless make sure you understand how to do them.
  • Problem Set 1, due 18 January 2019, Solution Set 1
  • Problem Set 2, due   25 January 2019, Solution Set 2
  • Problem Set 3, due 1 February 2019, Solution Set 3
  • Problem Set 4, due 8 February 2019, Solution Set 4
  • Problem Set 5, due 15 February 2019, Solution Set 5
  • Problem Set 6, due   22 February 2019, Solution Set 6
  • Problem Set 7 , due 1 March 2019. Solution Set 7
  • Problem Set 8 , due 15 March 2019. Solution Set 8
  • Problem Set 9 , due 22 March 2019. Solution Set 9
  • Problem Set 10 , due 29 March 2019. Solution Set 10
  • Problem Set 11 , due 5 April 2019. Solution Set 11
  • Problem Set 12 , due 12 April 2019. Solution Set 12
  • Problem Set 13 , due 24 April 2019. Solution Set 13

    Information on Final Exam

    The final examination is scheduled for 1 May 2019 12:30pm-2:30pm.


    We shall not cease from exploration
    And the end of all our exploring
    Will be to arrive where we started
    And know the place for the first time.

                                        - T. S. Eliot

    Announcements, Fall2018

  • Problem Set 1 posted 28 August 2018.
  • Problem Set 2 posted 12 September 2018. Note that the wrong set was posted before 8:35pm--the error is now corrected.
  • Solution Set 1 posted 19 September 2018.
  • Problem Set 3 posted 26 September 2018.
  • Solution Set 2 posted 4 October 2018.
  • Problem Set 4 posted 10 October 2018.
  • Solution Set 3 posted 30 October 2018.
  • Problem Set 5 posted 30 October 2018.
  • Problem Set 6 posted 13 November 2018.
  • Solution Set 4 posted 14 November 2018.
  • Solution Set 5 posted 24 November 2018.
  • String Theory Outline posted 24 November 2018.
  • I just found a typo in Set 6--the instanton solutions quoted in 14 c) should be multiplied by $i/g$. I will correct it now.
  • Faculty Course evaluations will be conducted entirely on line. They open Tuesday, November 2018 and will continue until Friday, December 2018. These evaluations provide very important feedback, so it is essential that we all do our best to maximize the number of responses. You can access the evaluation form at your leisure from the web site: https://evaluations.ufl.edu/evals/ where you can find instructions and links to a gatorlink login page. It is probably a good idea if you bookmark the page so you can easily find it in the future.

    Homework Assignments

  • Problem Set 1, due 10 September 2018, Solution Set 1
  • Problem Set 2, due 26 September 2018, Solution Set 2
  • Problem Set 3, due 10 October 2018, Solution Set 3
  • Problem Set 4, due 22 October 2018, Solution Set 4
  • Problem Set 5, due 14 November 2018, Solution Set 5
  • Problem Set 6, due 30 November 2018, Solution Set 6
  • Problem Set 7, due   5 December 2018, Solution Set 7

    Information on Final Exam

    In grading the final, points will be deducted for errors in calculation and logic. This is in sharp contrast to the grading of the homework which was based more on the amount of work done than its accuracy. Absolutely no collaboration will be allowed. Each student's exam must be entirely his own work.


    Announcements, Fall2017

  • Problem Set 1 posted 22 August 2017.
  • Lecture notes corrected and Updated 28 August 20171.
  • Problem Set 2 posted 31 August 2017.
  • Problem Set 3 posted 6 September 2017.
  • Since UF will be closed on Monday, the due date for Problem Set 2 is pushed back to Wednesday, 13 September 2017.
  • Solution Set 1 posted 8 September 2017.
  • Since classes have been cancelled through Wednesday, the due date for Problem Set 2 is now pushed back to Friday, 15 September 2017, and the due date for Problem Set 3 is pushed back to Friday, 22 September 2017.
  • Although classes are cancelled today, I will be in my office from 2-5:30pm. Please treat this time as office hours!
  • I have decided to push the due date for Problem Set 3 to Monday 25 September 2017.
  • Problem Set 4 posted 21 September 2017.
  • Solution Set 2 posted 22 September 2017.
  • Problem Set 5 posted 1 October 2017.
  • Solution Set 3 posted 2 October 2017, revised due date 16 October 2017..
  • Typo corrested in Set 5.
  • Solution Set 4 posted 15 October 2017.
  • Problem Set 6 posted 15 October 2017.
  • Solution Set 5 posted 23 October 2017.
  • The due date for Set 6 is pushed back to Monday, 30 October 2017.
  • Problem Set 7 posted 31 October 2017.
  • Solution Set 7 posted 6 November 2017.
  • I will be in my office from 3pm till 5pm on Friday, 10 November 2017.
  • Problem Set 8 posted 9 November 2017. Also Lecture Notes updated!
  • The final Problem Set 9 posted 16 November 2017. This and all late homework are due on the last day of class, 6 December 2017.
  • For purposes of review I list the textbook sections we will have covered this semester: In Part 1, Sections 1-12; In Part 2, Sections 33-49; and in Part III: Sections 54-59 and 61-65. I expect that Lectures will reach Chapter 13.
  • Solution Set 8 posted 5 December 2017.
  • I have posted the take home final rules and instructions here. They will appear on the first page of the exam booklet. Please have a look.
  • Solution Set 9 posted 6 December 2017.
  • The take home final will be available in my office after 5pm on Friday, 8 December 2017. It must be handed in to me in my office by 5pm on Wednesday, 13 December 2017.
  • Erratum on the takehome final: In the last line of the last problem change flavors! to colors! my apologies for the error.
  • Faculty Course evaluations will be conducted entirely on line. They open Tuesday, 21 November 2017 and will continue until Friday, 8 December 2017. These evaluations provide very important feedback, so it is essential that we all do our best to maximize the number of responses. You can access the evaluation form at your leisure from the web site: https://evaluations.ufl.edu/evals/ where you can find instructions and links to a gatorlink login page. It is probably a good idea if you bookmark the page so you can easily find it in the future.

    Homework Assignments

    In the homework assignments, I will refer to problems in Srednicki's book by prefixing the problem number with S. Note that there are many problems in his book which ask the reader to fill in gaps in the preceding discussion (e.g. S 2.1 through 2.7). I will generally not assign such problems to be graded, but you should nonetheless make sure you understand how to do them.
  • Problem Set 1, due   1 September 2017, Solution Set 1
  • Problem Set 2, due 15 September 2017, Solution Set 2
  • Problem Set 3, due 25 September 2017, Solution Set 3
  • Problem Set 4, due   4 October 2017, Solution Set 4
  • Problem Set 5, due 16 October 2017, Solution Set 5
  • Problem Set 6, due 27 October 2017, Solution Set 6
  • Problem Set 7, due 13 November 2017, Solution Set 7
  • Problem Set 8, due 27 November 2017, Solution Set 8
  • Problem Set 9, due   6 December 2017, Solution Set 9

    Information on Final Exam

    In grading the final, points will be deducted for errors in calculation and logic. This is in sharp contrast to the grading of the homework which was based more on the amount of work done than its accuracy. Absolutely no collaboration will be allowed. Each student's be entirely his own work.