3D = 1 SYM Chern-Simons theory on the lattice

Journal of High Energy Physics

Volumn 2007, Issue 11, 2007, Pages

  Elliott, Joshua W ^a   Moore, Guy D ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Chern simons theories; Field theories in lower dimensions; Lattice gauge field theories; Supersymmetric gauge theory

Indexed keywords

EID: 36849089701     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/11/067     Document Type: Article

References (36)

1. A.G. Cohen, D.B. Kaplan, E. Katz and M. Unsal, Supersymmetry on a euclidean spacetime lattice. I: a target theory with four supercharges 2003 J. High Energy Phys. JHEP08(2003)024 [hep-lat/0302017]
2. A.G. Cohen, D.B. Kaplan, M. Unsal and E. Katz, Supersymmetry on a euclidean spacetime lattice. II: target theories with eight supercharges 2003 J. High Energy Phys. JHEP12(2003)031 [hep-lat/0307012]
3. D.B. Kaplan and M. Unsal, A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges 2005 J. High Energy Phys. JHEP09(2005)042 [hep-lat/0503039]
4. S. Catterall, A geometrical approach to N = 2 super Yang-Mills theory on the two dimensional lattice 2004 J. High Energy Phys. JHEP11(2004)006 [hep-lat/0410052]
5. D.B. Kaplan, A method for simulating chiral fermions on the lattice 1992 Phys. Lett. B 288 342 [hep-lat/9206013]
6. R. Narayanan and H. Neuberger, Chiral determinant as an overlap of two vacua 1994 Nucl. Phys. B 412 574 [hep-lat/9307006]
7. G.T. Fleming, J.B. Kogut and P.M. Vranas, Super Yang-Mills on the lattice with domain wall fermions 2001 Phys. Rev. D 64 034510 [hep-lat/0008009]
8. DESY-Munster collaboration, I. Campos et al., Monte Carlo simulation of SU(2) Yang-Mills theory with light gluinos, 1999 Eur. Phys. J. C 11 507 [hep-lat/9903014]
9. DESY-Munster collaboration, R. Kirchner, I. Montvay, J. Westphalen, S. Luckmann and K. Spanderen, Evidence for discrete chiral symmetry breaking in N = 1 supersymmetric Yang-Mills theory 1999 Phys. Lett. B 446 209 [hep-lat/9810062]
10. DESY-Munster collaboration, R. Kirchner, S. Luckmann, I. Montvay, K. Spanderen and J. Westphalen, Numerical simulation of dynamical gluinos: experience with a multi-bosonic algorithm and first results 1999 Nucl. Phys. (Proc. Suppl.) 73 828 [hep-lat/9808024]
11. A. Donini, M. Guagnelli, P. Hernndez and A. Vladikas, Towards N = 1 super-Yang-Mills on the lattice 1998 Nucl. Phys. B 523 529 [hep-lat/9710065]
12. J. Nishimura, Four-dimensional N = 1 supersymmetric Yang-Mills theory on the lattice without fine-tuning 1997 Phys. Lett. B 406 215 [hep-lat/9701013]
13. K. Itoh, M. Kato, H. Sawanaka, H. So and N. Ukita, Novel approach to super Yang-Mills theory on lattice: exact fermionic symmetry and 'ichimatsu' pattern 2003 J. High Energy Phys. JHEP02(2003)033 [hep-lat/0210049]
14. E. Witten, Supersymmetric index of three-dimensional gauge theory [hep-th/9903005]
15. A.N. Redlich, Parity violation and gauge noninvariance of the effective gauge field action in three-dimensions 1984 Phys. Rev. D 29 2366
16. E. Witten, An SU(2) anomaly, 1982 Phys. Lett. B 117 324
17. M.F. Atiyah, V.K. Patodi and I.M. Singer, Spectral asymmetry and Riemannian geometry, I 1976 Proc. Camb. Philos. Soc. 77 (1975) 43
18. M.F. Atiyah, V.K. Patodi and I.M. Singer, Spectral asymmetry and Riemannian geometry, II Proc. Camb. Philos. Soc. 78 (1980) 2848
19. M.F. Atiyah, V.K. Patodi and I.M. Singer, Spectral asymmetry and Riemannian geometry, III Proc. Camb. Philos. Soc. 79 1
20. B. Sheikholeslami and R. Wohlert, Improved continuum limit lattice action for QCD with Wilson fermions 1985 Nucl. Phys. B 259 572
21. C. Gattringer and I. Hip, Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice 1999 Nucl. Phys. B 541 305 [hep-lat/9806032]
22. J.W. Elliott and G.D. Moore, Three dimensional N = 2 supersymmetry on the lattice 2005 PoS(LAT2005)245 [2005 J. High Energy Phys. JHEP11(2005)010] [hep-lat/0509032]
23. S. Capitani, Lattice perturbation theory 2003 Phys. Rep. 382 113 [hep-lat/0211036]
24. G.D. Moore, O(a) errors in 3D SU(N) Higgs theories, 1998 Nucl. Phys. B 523 569 [hep-lat/9709053]
25. G.D. Moore, Measuring the broken phase sphaleron rate nonperturbatively 1999 Phys. Rev. D 59 014503 [hep-ph/9805264]
26. M. Lüscher, Topology of lattice gauge fields 1982 Comm. Math. Phys. 85 39
27. P. Woit, Topological charge in lattice gauge theory 1983 Phys. Rev. Lett. 51 638
28. P. Woit, Topology and lattice gauge fields 1985 Nucl. Phys. B 262 284
29. A. Phillips and D. Stone, Lattice gauge fields, principal bundles and the calculation of topological charge 1986 Comm. Math. Phys. 103 599
30. P. de Forcrand, M. Garcia Perez, J.E. Hetrick and I.-O. Stamatescu, Topology of full QCD 1998 Nucl. Phys. (Proc. Suppl.) 63 549 [hep-lat/9710001]
31. c [hep-lat/9802017]
32. T.A. DeGrand, A. Hasenfratz and T.G. Kovacs, Topological structure in the SU(2) vacuum, 1997 Nucl. Phys. B 505 417 [hep-lat/9705009]
33. 4 theory 1983 Nucl. Phys. B 226 187
34. K. Symanzik, Continuum limit and improved action in lattice theories. 2. O(n) nonlinear σ-model in perturbation theory 1983 Nucl. Phys. B 226 205
35. M.J. Teper, SU(N) gauge theories in 2+1 dimensions, 1999 Phys. Rev. D 59 014512 [hep-lat/9804008]
36. M. Laine and O. Philipsen, The non-perturbative QCD Debye mass from a Wilson line operator 1999 Phys. Lett. B 459 259 [hep-lat/9905004]