Remarks on Gribov mechanism on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si19.gif" display="inline" overflow="scroll"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory

Amaral, Marcelo M.; Lemes, V. E. R.

doi:10.1016/j.aop.2015.03.015

Annals of Physics

2015

DOI: 10.1016/j.aop.2015.03.015

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Remarks on Gribov mechanism on N=1 supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory

Marcelo M. Amaral

V. E. R. Lemes

Abstract: Some remarks on Gribov mechanism on N=1 Supersymmetric 3D theories are presented. The two point correlation function is analysed and the possibility of obtaining the confining Gribov regime is discussed. Also the possibility of obtaining Gribov behaviour in ABJM is presented. *

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Complex Chern-Simons and the Gribov Scenario for Confinement

et al. 2020

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We show that BLG-ABJM type of theories, discovered in the context of the AdS/CFT correspondence, generates gauge propagators with the complex pole structure prescribed by the Gribov scenario for confinement, which was developed in the context of Yang-Mills theories. This structure, known as i-particles in Gribov-Zwanziger theories, effectively allows the definition of composite operators with a positive Källén-Lehmann spectral representation for their two-point functions. Therefore, these operators satisfy the criteria to describe glueball condensates. We calculate the (first-order) contribution to the two-point function of the gauge invariant condensate in the ABJM framework. We show that the correlator can be interpreted as a physical composite particle state in terms of the Källén-Lehmann representation.

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Complex Chern-Simons and the Gribov Scenario for Confinement

et al. 2020

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Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory

Weinreb

Faizal

2015

Physics Letters B

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In this paper, we will study the deformation of a three dimensional N = 2 supersymmetry gauge theory. We will deform this theory by imposing non-anticommutativity. This will break the supersymmetry of the theory from N = 2 supersymmetry to N = 1 supersymmetry. We will address the problem that occurs in the Landau gauge due to the existence of multiple solutions to the gauge fixing condition. This will be done by generalizing the Faddeev-Popov method. This formalism is motivated from the Nicolai map in topological field theories. Finally, we will study the extended BRST symmetry that occurs in this theory. It is possible to express the Bianchi identity as [∇The gauge transformation of this covariant derivative are given by

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Remarks on Gribov mechanism on N=1 supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory

Abstract: Some remarks on Gribov mechanism on N=1 Supersymmetric 3D theories are presented. The two point correlation function is analysed and the possibility of obtaining the confining Gribov regime is discussed. Also the possibility of obtaining Gribov behaviour in ABJM is presented. *

Cited by 2 publications

References 41 publications

Complex Chern-Simons and the Gribov Scenario for Confinement

Complex Chern-Simons and the Gribov Scenario for Confinement

Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory

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