Introduction to Quantum Field Theory (Theory of Scalar Fields) - Part 2

By Prof. Anurag Tripathi | IIT Hyderabad

Learners enrolled: 431

ABOUT THE COURSE:
This course, which is the second part of the course on Introduction to Quantum Field Theory (Theory of Scalar Fields) makes the connection between the Experimentally observable quantities such as cross-section and theoretically computable scattering amplitudes. Here we also discuss renormalization at one loop in phi^4 theory.

INTENDED AUDIENCE: Students pursuing PhD in High Energy Physics. Advanced MSc. Physics students interested in Quantum Field Theory.

PREREQUISITES: Introduction to Quantum Field Theory (Theory of Scalar Fields) - Part 1 offered by NPTEL by the same Author.

Summary

Course Status :	Completed
Course Type :	Elective
Language for course content :	English
Duration :	12 weeks
Category :	Physics
Credit Points :	3
Level :	Postgraduate
Start Date :	23 Jan 2023
End Date :	14 Apr 2023
Enrollment Ends :	06 Feb 2023
Exam Registration Ends :	17 Mar 2023
Exam Date :	30 Apr 2023 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: Review of the basics of Scalar Field Theory coverd in QFT part-1

Week 2: The S-Matrix, Scattering Amplitude, Scattering in interacting theory

Week 3: Scattering Cross-Section formula

Week 4: The Kallen-Lehmann Representation. The Z factor.

Week 5: Lehmann, Symanzik and Zimmermann (LSZ) reduction.

Week 6: Analytic properties of functions defined through integrals. Optical theorem

Week 7: Ultraviolet Divergences in Phi^4 theory and power counting, UV regularization:(a) Momentum cutoff, (b) Pauli Villars, and (c) Dimensional regularization.

Week 8: Renormalization of Phi^4 theory at one loop: Renormalization of 2-pt function

Week 9: Mandelstam invariants, Renormalization of 4-point function. Subtraction Schemes: MS and MS-bar schemes.

Week 10: Renormalization group equations, beta functions and anomalous dimension

Week 11: Solution to Callan-symanzik equations. Running coupling constant.

Week 12: Fixed points: Ultra Violet and Infrared Stable fixed points. Scale invariance at fixed points. Behavious of two point function near fixed points.

Books and references

(1) An introduction to Quantum Filed Theory - Sterman (1993)
(2) The Quantum Theory of Fields Volume 1- Weinberg (1995)
(3) An introduction to Quantum Field Theory -Peskin Schroeder (1995)

Instructor bio

Prof. Anurag Tripathi

IIT Hyderabad

Dr. Anurag Tripathi is Assistant Professor in the Department of Physics at IIT Hyderabad since 2015 and his area of research is Theoretical High Energy Physics. For more details visit https://www.iith.ac.in/~tripathi/ .

TEACHING ASSISTANT:

Dr. Neelima Agarwal is an Assistant Professor in Department of Physics at Chaitanya Bharathi Institute of Technology (A), Hyderabad since 2016. Her area of research is Theoretical High Energy Physics and Education Technology.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.

The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).

Date and Time of Exams: 30 April 2023 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.

Registration url: Announcements will be made when the registration form is open for registrations.

The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.

Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Hyderabad. It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team