Regge Trajectories by 0-Brane Matrix Dynamics

Fatollahi, Amir H.

doi:10.48550/arxiv.1506.02961

Cited by 3 publications

(5 citation statements)

References 13 publications

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“…This is found both in [17,21] and the new ingredient is the addition of the negative term −ar. Here we should interpret the additional constant a as if it is h, meaning it should be taken to be small.…”

Section: The Setupmentioning

confidence: 79%

Improved semiclassical model for real-time evaporation of matrix black holes

Berenstein

Guan

2021

Int. J. Mod. Phys. A

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In this paper, we study real-time classical matrix mechanics of a simplified [Formula: see text] matrix model inspired by the black hole evaporation problem. This is a step towards making a quantitative model of real-time evaporation of a black hole, which is realized as a bound state of D0-branes in string theory. The model we study is the reduction of Yang–Mills in [Formula: see text] dimension to [Formula: see text] dimensions, which has been corrected with an additional potential that can be interpreted as a zero-point energy for fermions. Our goal is to understand the lifetime of such a classical bound state object in the classical regime. To do so, we pay particular attention to when [Formula: see text]-particles separate to check that the “off-diagonal modes” of the matrices become adiabatic and use that information to improve on existing models of evaporation. It turns out that the naive expectation value of the lifetime with the fermionic correction is infinite. This is a logarithmic divergence that arises from very large excursions in the separation between the branes near the threshold for classical evaporation. The adiabatic behavior lets us get some analytic control of the dynamics in this regime to get this estimate. This divergence is cutoff in the quantum theory due to quantization of the adiabatic parameter, resulting in a long lifetime of the bound state, with a parametric dependence of order [Formula: see text].

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Section: The Setupmentioning

confidence: 79%

Improved semiclassical model for real-time evaporation of matrix black holes

Berenstein

Guan

2021

Int. J. Mod. Phys. A

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“…One might also be able to compare these kinds of situations to a direct computation of the wave functions (if the number of dimensions of the quantum mechanical problem is small enough). A simple example for the two matrix model is studied in [18] (see also [19]), wherein a list of energies of states is obtained. We will consider this example from the point of view of classical physics.…”

Section: Introductionmentioning

confidence: 99%

Smallest matrix black hole model in the classical limit

Berenstein

Kawai

2017

Phys. Rev. D

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We study the smallest non-trivial matrix model that can be considered to be a (toy) model of a black hole. The model consists of a pair of 2 × 2 traceless hermitian matrices with a commutator squared potential and an SU (2) gauge symmetry, plus an SO(2) rotation symmetry. We show that using the symmetries of the system, all but two of the variables can be separated. The two variables that remain display chaos and a transition from chaos to integrability when a parameter related to an SO(2) angular momentum is tuned to a critical value. We compute the Lyapunov exponents near this transition and study the critical exponent of the Lyapunov exponents near the critical point. We compare this transition to extremal rotating black holes.arXiv:1608.08972v2 [hep-th]

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“…Now one may consider the effect of the gauge transformations of fields on the dual coordinates. In contrast to the case with Abelian symmetry, here the global gauge transformations are not trivial, causing the mixing between the different components of fields in internal space, explicitly for the fields' components by (9),…”

mentioning

confidence: 99%

“…In a series of works a model was considered based on the possibility that the quantum mechanics of matrix coordinates can be used for reproducing the features expected from non-Abelian gauge theories. The model has shown its ability to reproduce or cover some features and expectations in hadron physics including the potentials between static and fast decaying quarks, the Regge behavior in the scattering amplitudes, and the possible exhibition of a linear spin-mass relation [7][8][9]. The symmetry aspects of the above-mentioned picture were studied in [10].…”

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confidence: 99%

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Coordinate/field duality in gauge theories: Emergence of matrix coordinates

Fatollahi

2016

EPL

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The proposed coordinate/field duality [Phys. Rev. Lett. 78 (1997) 163] is applied to the gauge and matter sectors of gauge theories. In the non-Abelian case, due to indices originated from the internal space, the dual coordinates appear to be matrices. The dimensions and the transformations of the matrix coordinates of gauge and matter sectors are different and are consistent to expectations from lattice gauge theory and the theory of open strings equipped with the Chan-Paton factors. It is argued that in the unbroken symmetry phase, where only proper collections of field components as colorless states are detected, it is logical to assume that the same happens for the dual coordinates, making matrix coordinates the natural candidates to capture the internal dynamics of baryonic confined states. The proposed matrix coordinates happen to be the same appearing in the bound-state of D0-branes of string theory.

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Regge Trajectories by 0-Brane Matrix Dynamics

Cited by 3 publications

References 13 publications

Improved semiclassical model for real-time evaporation of matrix black holes

Improved semiclassical model for real-time evaporation of matrix black holes

Smallest matrix black hole model in the classical limit

Coordinate/field duality in gauge theories: Emergence of matrix coordinates

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