date_range Inicia em 6 de junho de 2014
event_note Termina em 20 de junho de 2020
list 16 sequencias
assignment Nível: Avançado
label Física
chat_bubble_outline Idioma: Inglês
card_giftcard 2.240 pontos
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Informações principais

credit_card Free accesso
timer 160 total de horas

Sobre o conteúdo

From February 3 to May 28, 2020, we are offering Effective Field Theory in a Live Archive format. This means that the course features and materials will once again all be available, staff will engage with learners in the discussion forum, and there will be updates to the course content.


8.EFTx is an online version of MIT's graduate Effective Field Theory course. The course follows the MIT on-campus class 8.851 as it was given by Professor Iain Stewart in the Fall of 2013, and includes his video lectures, resource material on various effective theories, and a series of problems to facilitate learning the material. Anyone can register for the online version of the course. When the course is being taught on campus, students at MIT or Harvard may also register for 8.851 for course credit.

Effective field theory (EFT) provides a fundamental framework to describe physical systems with quantum field theory. In this course you will learn both how to construct EFTs and how to apply them in a variety of situations. We will cover the majority of the common tools that are used by different effective field theories. In particular: identifying degrees of freedom and symmetries, formulating power counting expansions (both dimensional and non-dimensional), field redefinitions, bottom-up and top-down effective theories, fine-tuned effective theories, matching and Wilson coefficients, reparameterization invariance, and various examples of advanced renormalization group techniques. Examples of effective theories we will cover are the Standard Model as an effective field theory, integrating out the massive W, Z, Higgs, and top, chiral perturbation theory, non-relativistic effective field theories including those with a large scattering length, static sources and Heavy Quark Effective Theory (HQET), and a theory for collider physics, the Soft-Collinear Effective Theory (SCET).

Course Flow

Since this is an advanced graduate physics course, you will find that self-motivation and interaction with others is essential to learning the material. The purpose of the online course is to set you up with a foundation, to teach you to speak the language of EFT, and to connect you with other students and researchers that are interested in learning or broadening their exposure to this subject. Each week you will complete automatically graded homework problems to test your understanding and to help you master the material. You are expected to discuss the homework with other people in the class, but your online responses must be done individually. To facilitate these interactions there will be a forum for student-to-student discussions, with threads to cover different topics, and moderators with experience in this field. Student learning and discussions will also be prompted by questions posed after each lecture topic.

There will be no tests or final exam, but at the end of the course each student will give a 30-minute presentation on an EFT topic of their choosing. The subject of effective field theory is rich and diverse, and far broader than we will be able to cover in a single course. The presentations will create an opportunity for you to learn about additional subjects beyond those in lecture from your fellow students. To facilitate this learning opportunity, each student will be required to watch and grade five presentations from among their fellow students.

Since this is a graduate course, we anticipate that learning the subject and having the 8.EFTx materials available as an online resource will be more valuable to most of you than obtaining a grade. Therefore anyone who registers for the course will be able to retain access to the course materials after the course has ended. Note that when the course is archival mode that the problems can be attempted and checked in the same manner as when the course was running.

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A graduate level course in Quantum Field Theory.


Programa de estudos

  • To Identify degrees of freedom and symmetries
  • To Formulate power counting expansions (both dimensional and non-dimensional)
  • Field redefinitions
  • Bottom-up and top-down effective theories
  • Fine-tuned effective theories
  • Matching and Wilson coefficients
  • Reparameterization invariance
  • Various examples of advanced renormalization group techniques


Saif Rayyan
Lecturer, Physics

Iain Stewart
Professor of Physics

Daniel Kolodrubetz

Evangelos Sfakianakis
Fortner Postdoctoral Fellow
University of Illinois

Aditya Pathak
PhD candidate

Gherardo Vita
Teaching Assistant and PhD Candidate
Massachusetts Institute of Technology


Criador do conteúdo


Le Massachusetts Institute of Technology (MIT), en français Institut de technologie du Massachusetts, est un institut de recherche américain et une université, spécialisé dans les domaines de la science et de la technologie. Situé à Cambridge, dans l'État du Massachusetts, à proximité immédiate de Boston, au nord-est des États-Unis, le MIT est souvent considéré comme une des meilleures universités mondiales.

Il édite la Technology Review, une revue scientifique consacrée aux sciences de l'ingénieur et à l'innovation.




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