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

Journal Article · Mon Nov 08 00:00:00 EST 2021 · International Journal of Modern Physics A

DOI:https://doi.org/10.1142/s0217751x21502195· OSTI ID:1835899

Berenstein, David ^[1]; Guan, Yueshu ^[2]

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1. Univ. of California, Santa Barbara, CA (United States); University of California at Santa Barbara
2. Univ. of California, Santa Barbara, CA (United States)

In this paper, we study real-time classical matrix mechanics of a simplified 2 × 2 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 2 + 1 dimension to 0 + 1 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 D-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 log(1/ℏ).

• Research Organization: Univ. of California, Santa Barbara, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: SC0011702
• OSTI ID: 1835899
• Journal Information: International Journal of Modern Physics A, Journal Name: International Journal of Modern Physics A Journal Issue: 29 Vol. 36; ISSN 0217-751X
• Publisher: World Scientific
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
D-branes
evaporating black holes
numerical simulation