TY - JOUR
T1 - N=4 supersymmetry on a space-time lattice
AU - Catterall, Simon
AU - Schaich, David
AU - Damgaard, Poul H.
AU - DeGrand, Thomas
AU - Giedt, Joel
N1 - Funding Information:
We thank A. Veernala, C. DeTar, D. Weir, M. Hanada, A. Cherman and A. Hasenfratz for helpful discussions and suggestions. We are grateful for hospitality and support from the Aspen Center for Physics (U.S. National Science Foundation Grant No. PHYS-1066293) when this project was initiated. This work was also supported by the U.S. Department of Energy (DOE) under Grants No. DE-SC0008669 and No. DE-SC0009998 (S. C., D. S.) and No. DE-SC0010005 (T. D.). Numerical calculations were carried out on the HEP-TH cluster at the University of Colorado and on the DOE-funded USQCD facilities at Fermilab.
Funding Information:
We thank A. Veernala, C. DeTar, D. Weir, M. Hanada, A. Cherman and A. Hasenfratz for helpful discussions and suggestions. We are grateful for hospitality and support from the Aspen Center for Physics (U.S. National Science Foundation Grant No.Å PHYS-1066293) when this project was initiated. This work was also supported by the U.S. Department of Energy (DOE) under Grants No.Å DE-SC0008669 and No.Å DE-SC0009998 (S.-C., D.-S.) and No.Å DE-SC0010005 (T.-D.). Numerical calculations were carried out on the HEP-TH cluster at the University of Colorado and on the DOE-funded USQCD facilities at Fermilab.
Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/9/10
Y1 - 2014/9/10
N2 - Maximally supersymmetric Yang-Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice theory, paying particular attention to its strongly coupled regime. Targeting a theory with gauge group SU(N), the lattice formulation is naturally described in terms of gauge group U(N). Although the U(1) degrees of freedom decouple in the continuum limit we show that these degrees of freedom lead to unwanted lattice artifacts at strong coupling. We demonstrate that these lattice artifacts can be removed, leaving behind a lattice formulation based on the SU(N) gauge group with the expected apparently conformal behavior at both weak and strong coupling.
AB - Maximally supersymmetric Yang-Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice theory, paying particular attention to its strongly coupled regime. Targeting a theory with gauge group SU(N), the lattice formulation is naturally described in terms of gauge group U(N). Although the U(1) degrees of freedom decouple in the continuum limit we show that these degrees of freedom lead to unwanted lattice artifacts at strong coupling. We demonstrate that these lattice artifacts can be removed, leaving behind a lattice formulation based on the SU(N) gauge group with the expected apparently conformal behavior at both weak and strong coupling.
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U2 - 10.1103/PhysRevD.90.065013
DO - 10.1103/PhysRevD.90.065013
M3 - Article
AN - SCOPUS:84985930993
SN - 1550-7998
VL - 90
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 6
M1 - 065013
ER -