Matrix model of QCD: Edge localized glueballs and phase transitions

Acharyya, Nirmalendu; Balachandran, Aiyalam A.P.

doi:10.1103/physrevd.96.074024

Cited by 2 publications

(2 citation statements)

References 48 publications

(103 reference statements)

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“…Historically, studies in Yang-Mills theory [24,25], which is the gauge sector in the SM [1,2], has been particularly useful in understanding QCDrelated physics [26][27][28]. One may harbor similar expectations from pure scalar sector [29][30][31], particularly for richer renormalizable quantum field theory models.…”

Section: Introductionmentioning

confidence: 99%

Two Higgs Doublet Model with Scalar Mediation via Yukawa Interactions

Mufti,

Zahid

2021

Preprint

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Scalar sector offers a valuable avenue to explore its implications in the particle physics phenomenology for new physics and several model dependent phenomena. Two Higgs doublet models are among the promising models for such explorations. In the presence of a standard model Higgs, a two Higgs doublet model is studied in which the two Higgs fields are connected with each other via a scalar singlet field. The study is conducted using Dyson Schwinger equations under the Yukawa vertices set at their tree level form up to certain constants. Among the field propagators, the two Higgs propagators are found to be least effected in the parameter space which also reflects in the insignificant beyond the bare mass contributions to the renormalized Higgs masses. Evidence of universality in terms of identical coupling for both Higgs is found in the model. The model is found to be nontrivial in the explored parameter space. There are cutoff effects in the model. Stability in the calculated correlation functions and parameters generally ensues beyond 100 TeV cutoff.

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Section: Introductionmentioning

confidence: 99%

Two Higgs Doublet Model with Scalar Mediation via Yukawa Interactions

Mufti,

Zahid

2021

Preprint

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“…For instance, it has been successful in accounting for the impure nature of colored states in QCD [2,3]. It has also been used to describe the low-lying glueball spectrum of pure QCD [4], as well as to realize edge-localized glueball states in SUð2Þ Yang-Mills theory [5].…”

Section: Introductionmentioning

confidence: 99%

Born-Oppenheimer quantization of the matrix model for N=1 super-Yang-Mills theory

2020

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We construct a quantum mechanical matrix model that is a dimensional reduction of N ¼ 1 super-Yang-Mills on S 3 × R. We do so by pulling back the set of left-invariant connections of the gauge bundle onto the real superspace, with the spatial R 3 compactified to S 3. We quantize the N ¼ 1 SUð2Þ matrix model in the weak-coupling limit g ≪ 1, with g the dimensionless gauge coupling constant, using the Born-Oppenheimer approximation and find that different superselection sectors emerge for the effective gluon dynamics in this regime, reminiscent of different phases of the full quantum theory. We demonstrate that the Born-Oppenheimer quantization is indeed compatible with supersymmetry, albeit in a subtle manner. In fact, we can define effective supercharges that relate the different sectors of the matrix model's Hilbert space. These effective supercharges have a different definition in each phase of the theory.

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Matrix model of QCD: Edge localized glueballs and phase transitions

Cited by 2 publications

References 48 publications

Two Higgs Doublet Model with Scalar Mediation via Yukawa Interactions

Two Higgs Doublet Model with Scalar Mediation via Yukawa Interactions

Born-Oppenheimer quantization of the matrix model for N=1 super-Yang-Mills theory

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