Lattice $ \mathcal{N} $ = 4 super Yang-Mills at strong coupling

Catterall, Simon; Giedt, Joel; Toga, Goksu Can

doi:10.1007/jhep12(2020)140

Lattice $$ \mathcal{N} $$ = 4 super Yang-Mills at strong coupling

Journal Article · Tue Dec 22 00:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2020)140· OSTI ID:1763651

Catterall, Simon ^[1]; Giedt, Joel ^[2]; Toga, Goksu Can ^[3]

Syracuse Univ., NY (United States); Rensselaer Polytechnic Institute
Rensselaer Polytechnic Inst., Troy, NY (United States)
Syracuse Univ., NY (United States)

In this paper we present results from numerical simulations of N = 4 super Yang-Mills for two color gauge theory over a wide range of ’t Hooft coupling 0 < λ ≤ 30 using a supersymmetric lattice action. Numerical study of this lattice theory has been stymied until recently by both sign problems and the occurrence of lattice artifact phases at strong coupling. We have recently developed a new action that appears capable of solving both problems. The resulting action possesses just SU(2) rather than U(2) gauge symmetry. By explicit computations of the fermion Pfaffian we present evidence that the theory possesses no sign problem and exists in a single phase out to arbitrarily strong coupling. Furthermore, preliminary work shows that the logarithm of the supersymmetric Wilson loop varies as the square root of the ’t Hooft coupling λ for large λ in agreement with holographic predictions.

View Accepted Manuscript (DOE)

Research Organization:: Rensselaer Polytechnic Inst., Troy, NY (United States); Syracuse Univ., NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0009998; SC0013496

OSTI ID:: 1763651

Alternate ID(s):: OSTI ID: 1834390
OSTI ID: 1905090

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2020; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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