Yang-Mills Theory as Effective Theory

LOGO

Dmitry Krotov (INR & ITEP, Moscow)

Based on the papers

D.Krotov, A.Losev “QFT as Effective BV Theory from C-S”, hep-th/06032011

V.Alexandrov, D.Krotov, A.Losev, V.Lysov“A Comment on the Off-Shell Supersymmetry”,work in progress

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Main ideas

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Degrees of freedom in the conventional QFT are effective.

The search of fundamental degrees of freedom is an important problem in physics.

Physical degrees of freedom

Physical degrees of freedom

Cohomologies of certain differential Q

What is called by cohomologies?

Fundamental Theory

11-dSUGRA ?

10-d SYM

2-d gauge model

Witten’s OSFT-like theoryor Chern-Simons-like theory

The Basis of Construction

odd variables

even variables The ring of polynomials

The ideal of constraints

The differential QB

This operator is nilpotent due to the constraints

Definition of fields

Calculation of effective action

The Systems of Quadratic Constraints

Allquadrics

Regular Singular

Chern-Simons theory

There are many such quadrics

Yang-Mills, SUGRA,2-d gauge model

There is a small number of such quadrics

The space of effective theories