Chaos in Chiral Condensates in Gauge Theories

Koji Hashimoto, Keiju Murata, and Kentaroh Yoshida
Phys. Rev. Lett. 117, 231602 – Published 30 November 2016
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Abstract

Assigning a chaos index for dynamics of generic quantum field theories is a challenging problem because the notion of a Lyapunov exponent, which is useful for singling out chaotic behavior, works only in classical systems. We address the issue by using the AdS/CFT correspondence, as the large Nc limit provides a classicalization (other than the standard 0) while keeping nontrivial quantum condensation. We demonstrate the chaos in the dynamics of quantum gauge theories: The time evolution of homogeneous quark condensates q¯q and q¯γ5q in an N=2 supersymmetric QCD with the SU(Nc) gauge group at large Nc and at a large ’t Hooft coupling λNcgYM2 exhibits a positive Lyapunov exponent. The chaos dominates the phase space for energy density E(6×102)×mq4(Nc/λ2), where mq is the quark mass. We evaluate the largest Lyapunov exponent as a function of (Nc,λ,E) and find that the N=2 supersymmetric QCD is more chaotic for smaller Nc.

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  • Received 26 June 2016

DOI:https://doi.org/10.1103/PhysRevLett.117.231602

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Koji Hashimoto1, Keiju Murata2, and Kentaroh Yoshida3

  • 1Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan
  • 2Keio University, 4-1-1 Hiyoshi, Yokohama 223-8521, Japan
  • 3Department of Physics, Kyoto University, Kyoto 606-8502, Japan

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Issue

Vol. 117, Iss. 23 — 2 December 2016

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