Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
By I. Tyutin. 2008
510 citations recorded by the source corpus.
We obtain the Ward identities and the gauge-dependence of Green's functions in non-Abelian gauge theories by using only the canonical commutation relations and the equations of motion for the Heisenberg operators. The consideration is applicable to theories both with and without spontaneous symmetry breaking. We present a definition of a generalized statistical average which ensures that the Fourier images of temperature Green's functions of the Fermionic fields have only even-valued frequencies. This makes it possible to set up a procedure of gauge-invariant statistical averaging in terms of the Hamiltonian and the field operators.
Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/bcbe98051a7e91eb470c5dc1fd96469380b370b4
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In Atomic and Molecular Physics, and Optics
- G. Barnich
- M. Henneaux
- Friedemann Brandt
- D. Zwanziger
- Nele Vandersickel
- Andrew Strominger
- G. Compère
- C. Fischer
In Mathematical Physics
- G. Barnich
- Friedemann Brandt
- Lorenzo Raspollini
- Martin Wolf
- D. Zwanziger
- Nele Vandersickel
- M. Henneaux
- B. Jurčo
In Statistical and Nonlinear Physics
- G. Barnich
- Lorenzo Raspollini
- Friedemann Brandt
- Martin Wolf
- D. Zwanziger
- Nele Vandersickel
- M. Henneaux
- B. Jurčo
Citations in the corpus
- L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism (2018, background): “The first one is the usual starting point of BRST quantisation18 [67, 68], which expresses the symmetries19 of a field theory as the action Lie algebroid introduced in Section 2.”
- The Gribov problem and QCD dynamics (2012, background): “It was found by Becchi, Rouet and Stora [73] and independently by Tyutin [74], that the action S of equation (2.39) enjoys a new symmetry, called the BRST symmetry [75], sS = 0 , (2.41) with sAaµ =−(Dµc)a , sca = 1 2 g f abccbcc , sca = ba , sba = 0 , sψiα =−igca(Xa)i jψ jα sψiα =−igψ jαca(Xa) ji .”
- Classical BV Theories on Manifolds with Boundary (2011, unknown): “Applications to AKSZ theories 61 References 63”
- Local BRST cohomology in gauge theories (2000, methodology): “The BRST differential was initially introduced in the context of perturbative quantum Yang-Mills theory in four dimensions [45, 46, 47, 48, 209].”