yang-mills theory as effective theory
DESCRIPTION
Yang-Mills Theory as Effective Theory. of Chern-Simons. Dmitry Krotov (INR & ITEP, Moscow). Based on the papers. D.Krotov, A.Losev “QFT as Effective BV Theory from C-S”, hep-th/0603201. 1. V.Alexandrov, D.Krotov, A.Losev, V.Lysov “A Comment on the Off-Shell Supersymmetry”, - PowerPoint PPT PresentationTRANSCRIPT
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LOGO
Dmitry Krotov (INR & ITEP, Moscow)
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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.
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Physical degrees of freedom
Physical degrees of freedom
Cohomologies of certain differential Q
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What is called by cohomologies?
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Fundamental Theory
11-dSUGRA ?
10-d SYM
2-d gauge model
Witten’s OSFT-like theoryor Chern-Simons-like theory
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The Basis of Construction
odd variables
even variables The ring of polynomials
The ideal of constraints
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The differential QB
This operator is nilpotent due to the constraints
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Definition of fields
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Calculation of effective action
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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
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The space of effective theories