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Bose-Fermi cancellations without supersymmetry

Journal Article · · Physical Review. D.
; ;
We show that adjoint QCD features very strong Bose-Fermi cancellations in the large- N limit, despite the fact that it is manifestly nonsupersymmetric. The difference between the bosonic and fermionic densities of states in large- N adjoint QCD turns out to have a “two-dimensional” scaling ~exp ( ℓE ) for large energies E in finite spatial volume, where ℓ is a length scale associated with the curvature of the spatial manifold. In particular, all Hagedorn growth cancels, and so does the growth exp(V1/4E3/4) expected in a standard local four-dimensional theory in spatial volume V . In these ways, large- N adjoint QCD, a manifestly nonsupersymmetric theory, acts similarly to supersymmetric theories. We also show that at large- N the vacuum energy of multiflavor adjoint QCD is non-negative and exponentially small compared to the UV cutoff with several natural regulators.
Research Organization:
North Carolina State Univ., Raleigh, NC (United States); Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Grant/Contract Number:
FG02-03ER41260; SC0011842
OSTI ID:
1511093
Alternate ID(s):
OSTI ID: 1609461
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 10 Vol. 99; ISSN PRVDAQ; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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