An overview of light-front holography

Sandapen, Ruben

doi:10.48550/arxiv.2001.03479

Cited by 1 publication

(2 citation statements)

References 28 publications

(42 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Coleman [200] also claimed that in 2D electromagnetic field theory spontaneous symmetry breaking is absent. The success of LFHQCD may be due to the choice of a parameter of Schroedinger equation [80,103]. Spontaneous symmetry breaking or Higgs effects do not appear in LFHQCD.…”

Section: Discussionmentioning

confidence: 99%

“…Since the longitudinal mode is separated from the transverse modes and the parameter of evolution is taken to be τ = x + = t + z/c [70,71,76]. Using the LF time evolution operator P − = P 0 − P z = d/dτ , and P + = P 0 + P z , the LF hamiltonian that operates on Ψ(x i , k ⊥i , λ i ) is given by [79,80,103],…”

Section: Supersymmetry In Hadron Dynamics a Light Front Holographic Q...mentioning

confidence: 99%

See 1 more Smart Citation

Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media

Furui

2020

Preprint

View full text Add to dashboard Cite

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).

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Supersymmetry In Hadron Dynamics a Light Front Holographic Q...mentioning

confidence: 99%