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Title: Removal of the trace mode in lattice N = 4 super Yang-Mills theory

Journal Article · · Physical Review. D.
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Twisted and orbifold formulations of lattice N = 4 super Yang-Mills theory which possess an exact supersymmetry require a U(N)=SU(N) Ⓧ U(1) gauge group. In the naive continuum limit, the U(1) modes trivially decouple and play no role in the theory. However, at nonzero lattice spacing they couple to the SU(N) modes and can drive instabilities in the lattice theory. For example, it is well known that the lattice U(1) theory undergoes a phase transition at strong coupling to a chirally broken phase. An improved action that suppresses the fluctuations in the U(1) sector was proposed in Catterall and Schaich [J. High Energy Phys. 07 (2015) 057]. Here, we explore a more aggressive approach to the problem by adding a term to the action which can entirely suppress the U(1) mode. The penalty is that the new term breaks the Q-exact lattice supersymmetry. However, we argue that the term is 1/N2 suppressed and the existence of a supersymmetric fixed point in the planar limit ensures that any supersymmetry-violating terms induced in the action possess couplings that also vanish in this limit. We present numerical results on supersymmetric Ward identities consistent with this conclusion.

Research Organization:
Syracuse Univ., NY (United States); Rensselaer Polytechnic Inst., Troy, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0009998; SC0013496
OSTI ID:
1483343
Alternate ID(s):
OSTI ID: 1611301
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Vol. 98 Journal Issue: 9; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

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