Chaos in Chiral Condensates in Gauge Theories

Koji Hashimoto, Keiju Murata, Kentaroh Yoshida

Research output: Contribution to journalArticle

10 Citations (Scopus)

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 ℓ→0) while keeping nontrivial quantum condensation. We demonstrate the chaos in the dynamics of quantum gauge theories: The time evolution of homogeneous quark condensates qq and q5q in an N=2 supersymmetric QCD with the SU(Nc) gauge group at large Nc and at a large 't Hooft coupling λ≡NcgYM2 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.

Original languageEnglish
Article number231602
JournalPhysical Review Letters
Volume117
Issue number23
DOIs
Publication statusPublished - 2016 Nov 30

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condensates
chaos
gauge theory
exponents
quantum chromodynamics
quarks
flux density
condensation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Chaos in Chiral Condensates in Gauge Theories. / Hashimoto, Koji; Murata, Keiju; Yoshida, Kentaroh.

In: Physical Review Letters, Vol. 117, No. 23, 231602, 30.11.2016.

Research output: Contribution to journalArticle

Hashimoto, Koji ; Murata, Keiju ; Yoshida, Kentaroh. / Chaos in Chiral Condensates in Gauge Theories. In: Physical Review Letters. 2016 ; Vol. 117, No. 23.
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