Non-local deformation of a supersymmetric field theory

Zhao, Qin; Faizal, Mir; Shah, Mushtaq B.; Bhat, Abdul Hamid; Ganai, Prince A.; Zaz, Zaid; Masood, Syed; Raza, Jamil; Irfan, Raja Muhammad

doi:10.1140/epjc/s10052-017-5142-9

Cited by 6 publications

(3 citation statements)

References 73 publications

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“…Heisenberg uncertainty problem is related to the length scale of physics and it is an important ingredient for N = 1 supersymmetric field theory and conformal field theory [168].…”

Section: G Non-local Deformation Of a Supersymmetric Field Theorymentioning

confidence: 99%

Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media

Furui

2020

Preprint

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An overview of hadron spectroscopy obtained from an extension of superconformal field theory of de Alfaro, Fubini and Furlan, which originates from the supergauge transformation of Wess and Zumino and influenced on the string theory are preseted.The standard model of hadron dynamics is based on gauge theory. In the 4 dimensional (4D) QCD Lagrangian, the Faddeev-Popov ghost that appears to compensate unphysical degrees of freedom in internal fermion propagators can be regarded as the partner of a fermion. Donaldson formulated a 5D gauge theory.Fubini and Rabinovici formulated superconformal quantum mechanics in de Sitter space, and Brodsky and de Téramond formulated relativistic light front holographic QCD (LFHQCD) in Kaluza-Klein type 5D anti de Sitter (AdS) space, using Dirac's light cone gauge, and succeeded in obtaining spectroscopy of baryons (fermions) and corresponding mesons (bosons), except the pion which is an axial scalar meson that remains massless.In the LFHQCD, the time parameter τ = t ± z/c, (z ∈ C) appears by the choice of the light-cone gauge, or the front form of Dirac's formulation. The theory is an extension of AdS/CFT correspodence of Maldacena in which incorporation of Einstein's gravity theory in Maxwell's electromagnetic theory was tried in the framework of the string theory.Taking mathematical frameworks of treating the supersymmetry by Brodsky, Witten, Connes and their collaborators as central thema, we summarize other supersymmetric approaches like string theory in particle physics and astrophysics. We discuss about 2 dimensional solitons whose dynamics is represented also by τ = t ± z/c, (z ∈ pure quaternionH).

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“…Heisenberg uncertainty problem is related to the length scale of physics and it is an important ingredient for N = 1 supersymmetric field theory and conformal field theory [168].…”

Section: G Non-local Deformation Of a Supersymmetric Field Theorymentioning

confidence: 99%

Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media

Furui

2020

Preprint

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“…[41], GUP into field theories is incorporated with Lifshitz scaling. Also a supersymmetric field theory deformed by generalized uncertainty principle and Lifshitz scaling have been studied [42]. In Refs.…”

Section: Introductionmentioning

confidence: 99%

Analysis of black hole thermodynamics with a new higher order generalized uncertainty principle

2019

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This research explores a unified expression for the black hole thermodynamics in the presence of a special generalized uncertainty principle (GUP). We have considered a heuristic analysis versus behavior of a particle which is absorbed by the black hole. Then we investigate the thermodynamic properties of the topological charged black hole under the consideration of GUP and we obtain the GUPcorrected temperature, entropy and heat capacity and we compare the behaviors of the usual temperature and the corrected temperature for the charged black hole in the spherical horizon case.

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“…Its effects have also been studied in the gravitational wave event [63]. The consequences of GUP have been extended to field theories as well [64][65][66][67][68], such as non-local field theories [64], no cloning theorem [65] and Lifshitz field theories [66], supersymmetric field theories [67] and topological defects in deformed gauge theory [68]. The path integral approach to quantization has also been studied [69].…”

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confidence: 99%

GUP corrections to the Dirac oscillator in the external magnetic field

Tyagi

Kumar

Mandal

2020

EPL

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We have studied (2+1) dimensional Dirac oscillator (DO) in an external magnetic field in the framework of generalized uncertainty principle (GUP). We have calculated the perturbative corrections for first few energy levels. We show that the infinite degeneracy of lowest Landau level is partially lifted due to GUP correction and obtained a critical value of the magnetic field for which there is no GUP correction and the DO stops oscillating.

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Non-local deformation of a supersymmetric field theory

Cited by 6 publications

References 73 publications

Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media

Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media

Analysis of black hole thermodynamics with a new higher order generalized uncertainty principle

GUP corrections to the Dirac oscillator in the external magnetic field

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