Evidence for Fast Thermalization in the Plane-Wave Matrix Model

被引：53

作者：

Asplund, Curtis T. ^{[1
]}

Berenstein, David ^{[1
,2
]}

Trancanelli, Diego ^{[3
]}

机构：

[1] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA

[2] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA

[3] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 17期

关键词：

D O I：

10.1103/PhysRevLett.107.171602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report on a numerical simulation of the classical evolution of the plane-wave matrix model with semiclassical initial conditions. Some of these initial conditions thermalize and are dual to a black hole forming from the collision of D-branes in the plane-wave geometry. In particular, we consider a large fuzzy sphere (a D2-brane) plus a single eigenvalue (a D0 particle) going exactly through the center of the fuzzy sphere and aimed to intersect it. Including quantum fluctuations of the off-diagonal modes in the initial conditions, with sufficient kinetic energy the configuration collapses to a small size. We also find evidence for fast thermalization: rapidly decaying autocorrelation functions at late times with respect to the natural time scale of the system.

引用

页数：5

共 15 条

[1] Experimental and theoretical challenges in the search for the quark-gluon plasma:: The STAR Collaboration's critical assessment of the evidence from RHIC collisions [J].

Adams, J ;

Aggarwal, MM ;

Ahammed, Z ;

Amonett, J ;

Anderson, BD ;

Arkhipkin, D ;

Averichev, GS ;

Badyal, SK ;

Bai, Y ;

Balewski, J ;

Barannikova, O ;

Barnby, LS ;

Baudot, J ;

Bekele, S ;

Belaga, VV ;

Bellingeri-Laurikainen, A ;

Bellwied, R ;

Berger, J ;

Bezverkhny, BI ;

Bharadwaj, S ;

Bhasin, A ;

Bhati, AK ;

Bhatia, VS ;

Bichsel, H ;

Bielcik, J ;

Bielcikova, J ;

Billmeier, A ;

Bland, LC ;

Blyth, CO ;

Bonner, BE ;

Botje, M ;

Boucham, A ;

Bouchet, J ;

Brandin, AV ;

Bravar, A ;

Bystersky, M ;

Cadman, RV ;

Cai, XZ ;

Caines, H ;

Sánchez, MCD ;

Castillo, J ;

Catu, O ;

Cebra, D ;

Chajecki, Z ;

Chaloupka, P ;

Chattopadhyay, S ;

Chen, HF ;

Chen, Y ;

Cheng, J ;

Cherney, M .

NUCLEAR PHYSICS A, 2005, 757 (1-2) :102-183

[2] Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC:: Experimental evaluation by the PHENIX Collaboration [J].

Adcox, K ;

Adler, SS ;

Afanasiev, S ;

Aidala, C ;

Ajitanand, NN ;

Akiba, Y ;

Al-Jamel, A ;

Alexander, J ;

Amirikas, R ;

Aoki, K ;

Aphecetche, L ;

Arai, Y ;

Armendariz, R ;

Aronson, SH ;

Averbeck, R ;

Awes, TC ;

Azmoun, R ;

Babintsev, V ;

Baldisseri, A ;

Barish, KN ;

Barnes, PD ;

Barrette, J ;

Bassalleck, B ;

Bathe, S ;

Batsouli, S ;

Baublis, V ;

Bauer, F ;

Bazilevsky, A ;

Belikov, S ;

Bellaiche, FG ;

Belyaev, ST ;

Bennett, MJ ;

Berdnikov, Y ;

Bhagavatula, S ;

Bjorndal, MT ;

Boissevain, JG ;

Borel, H ;

Borenstein, S ;

Botelho, S ;

Brooks, ML ;

Brown, DS ;

Bruner, N ;

Bucher, D ;

Buesching, H ;

Bumazhnov, V ;

Bunce, G ;

Burward-Hoy, JM ;

Butsyk, S ;

Camard, X ;

Carey, TA .

NUCLEAR PHYSICS A, 2005, 757 (1-2) :184-283

[3]

[Anonymous], ARXIVHEPTH0501068

[4] M theory as a matrix model: A conjecture [J].

Banks, T ;

Fischler, W ;

Shenker, SH ;

Susskind, L .

PHYSICAL REVIEW D, 1997, 55 (08) :5112-5128

[5] Strings in flat space and pp waves from N = 4 super Yang Mills [J].

Berenstein, D ;

Maldacena, J ;

Natase, H .

JOURNAL OF HIGH ENERGY PHYSICS, 2002, (04)

[6] Dynamical tachyons on fuzzy spheres [J].

Berenstein, David ;

Trancanelli, Diego .

PHYSICAL REVIEW D, 2011, 83 (10)

[7] First results from lattice simulation of the PWMM [J].

Catterall, Simon ;

van Anders, Greg .

JOURNAL OF HIGH ENERGY PHYSICS, 2010, (09)

[8] Extracting black hole physics from the lattice [J].

Catterall, Simon ;

Wiseman, Toby .

JOURNAL OF HIGH ENERGY PHYSICS, 2010, (04)

[9]

Dasgupta K, 2002, J HIGH ENERGY PHYS

[10] A BROWNIAN-MOTION FOR EIGENVALUES OF A RANDOM MATRIX [J].

DYSON, FJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1962, 3 (06) :1191-+

← 1 2 →