The Confining Transition in the Bosonic BMN Matrix Model

Asano, Yuhma; Kováčik, Samuel; O'Connor, Denjoe

doi:10.48550/arxiv.2001.03749

Cited by 2 publications

(2 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then, we analyze this model at thermal equilibrium with a finite angular momentum chemical potential through the CLM. Although the model is strongly coupled and the standard perturbative analysis does not work, the model without rotation has been analyzed through the MC method [13][14][15][16][17][18][19][20][21][22][23][24][25] and other non-perturbative methods such as the minimum sensitivity [26][27][28][29] and the 1/D-expansion [18,19,[30][31][32][33]. Particularly, the minimum sensitivity and the 1/D-expansion would work even in the presence of the angular momentum chemical potential.…”

Section: Introductionmentioning

confidence: 99%

Complex Langevin Method on Rotating Matrix Quantum Mechanics at Thermal Equilibrium

Azuma¹,

Morita²,

Yoshida³

2023

Preprint

View full text Add to dashboard Cite

Rotating systems in thermal equilibrium are ubiquitous in our world. In the context of high energy physics, rotations would affect the phase structure of QCD. However, the standard Monte-Carlo methods in rotating systems are problematic because the chemical potentials for the angular momenta (angular velocities) cause sign problems even for bosonic variables. In this article, we demonstrate that the complex Langevin method (CLM) may overcome this issue. We apply the CLM to the Yang-Mills (YM) type one-dimensional matrix model (matrix quantum mechanics) that is a large-N reduction (or dimensional reduction) of the (D + 1)-dimensional U(N ) pure YM theory (bosonic BFSS model). This model shows a large-N phase transition at finite temperature, which is analogous to the confinement/deconfinement transition of the original YM theory, and our CLM predicts that the transition temperature decreases as the angular momentum chemical potential increases. In order to verify our results, we compute several quantities via the minimum sensitivity method and find good quantitative agreements. Hence, the CLM properly works in this rotating system. We also argue that our results are qualitatively consistent with a holography and the recent studies of the imaginary angular velocity in QCD. As a byproduct, we develop an analytic approximation to treat the so-called "small black hole" phase in the matrix model.

show abstract

Section: Introductionmentioning

confidence: 99%

Complex Langevin Method on Rotating Matrix Quantum Mechanics at Thermal Equilibrium

Azuma¹,

Morita²,

Yoshida³

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Indeed, some lattice studies of the BMN model have already been carried out [7,8]. There was also a recent lattice investigation of the non-supersymmetric 'bosonic BMN model' that omits the fermionic degrees of freedom [9].…”

Section: Introduction Motivation and Backgroundmentioning

confidence: 99%

Thermal phase structure of a supersymmetric matrix model

Schaich,

Jha,

Joseph

2020

Preprint

View full text Add to dashboard Cite

We present initial results from ongoing lattice investigations into the thermal phase structure of the Berenstein-Maldacena-Nastase deformation of maximally supersymmetric Yang-Mills quantum mechanics. The phase diagram of the theory depends on both the temperature T and the deformation parameter µ, through the dimensionless ratios T /µ and g ≡ λ/µ 3 with λ the 't Hooft coupling. Considering couplings g that span three orders of magnitude, we reproduce the weakcoupling perturbative prediction for the deconfinement T /µ and approach recent large-N dual supergravity analyses in the strong-coupling limit. We are carrying out calculations with lattice sizes up to N τ = 24 and numbers of colors up to N = 16, to allow initial checks of the large-N continuum limit.

show abstract

The Confining Transition in the Bosonic BMN Matrix Model

Cited by 2 publications

References 34 publications

Complex Langevin Method on Rotating Matrix Quantum Mechanics at Thermal Equilibrium

Complex Langevin Method on Rotating Matrix Quantum Mechanics at Thermal Equilibrium

Thermal phase structure of a supersymmetric matrix model

Contact Info

Product

Resources

About