The fermion determinant in (4,4) 2d lattice super-Yang-Mills

Nuclear Physics B

Volumn 674, Issue 1-2, 2003, Pages 259-270

  Giedt, Joel ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242550991     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2003.09.045     Document Type: Article

References (32)

1. Curci G. Veneziano G. Supersymmetry and the lattice: a reconciliation? Nucl. Phys. B 292 1987 555
2. Montvay I. Embedding the N = 2 supersymmetric Yang-Mills theory in the adjoint Higgs-Yukawa model on the lattice Phys. Lett. B 344 1995 176 hep-lat/9410015
3. Montvay I. Supersymmetric Yang-Mills theory on the lattice Int. J. Mod. Phys. A 17 2002 2377 heplat/0112007
4. Feo A. Supersymmetry on the lattice hep-lat/0210015
5. Fleming G.T. Kogut J.B. Vranas P.M. Super-Yang-Mills on the lattice with domain wall fermions Phys. Rev. D 64 2001 034510 hep-lat/0008009.
6. Cohen A.G. Kaplan D.B. Katz E. Unsal M. Supersymmetry on a Euclidean spacetime lattice. II: target theories with eight supercharges hep-lat/0307012
7. Cohen A.G. Kaplan D.B. Katz E. Unsal M. Supersymmetry on a Euclidean spacetime lattice. I: a target theory with four supercharges hep-lat/0302017
8. Kaplan D.B. Katz E. Unsal M. Supersymmetry on a spatial lattice JHEP 0305 2003 037 heplat/0206019
9. Catterall S. Gregory E. A lattice path integral for supersymmetric quantum mechanics Phys. Lett. B 487 2000 349 hep-lat/0006013
10. Catterall S. Karamov S. A two-dimensional lattice model with exact supersymmetry Nucl. Phys. B (Proc. Suppl.) 106 2002 935 hep-lat/0110071
11. Catterall S. Karamov S. Exact lattice supersymmetry: the two-dimensional N = 2 Wess-Zumino model Phys. Rev. D 65 2002 094501 hep-lat/0108024
12. Maru N. Nishimura J. Lattice formulation of supersymmetric Yang-Mills theories without fine-tuning Int. J. Mod. Phys. A 13 1998 2841 hep-th/9705152.
13. Lüscher M. Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation Phys. Lett. B 428 1998 342 hep-lat/9802011.
14. Aoyama T. Kikukawa Y. Overlap formula for the chiral multiplet Phys. Rev. D 59 1999 054507 heplat/9803016
15. Bietenholz W. Exact supersymmetry on the lattice Mod. Phys. Lett. A 14 1999 51 hep-lat/9807010.
16. So H. Ukita N. Ginsparg-Wilson relation and lattice supersymmetry Phys. Lett. B 457 1999 314 heplat/9812002
17. Catterall S. Lattice supersymmetry and topological field theory JHEP 0305 2003 038 hep-lat/0301028
18. Catterall S. Lattice supersymmetry and topological field theory hep-lat/0309040
19. Arkani-Hamed N. Cohen A.G. Georgi H. (De)constructing dimensions Phys. Rev. Lett. 86 2001 4757 hep-th/0104005.
20. Hill C.T. Pokorski S. Wang J. Gauge invariant effective Lagrangian for Kaluza-Klein modes Phys. Rev. D 64 2001 105005 hep-th/0104035.
21. Giedt J. Poppitz E. Rozali M. Deconstruction, lattice supersymmetry, anomalies and branes JHEP 0303 2003 035 hep-th/0301048.
22. Poppitz E. Deconstructing KK monopoles hep-th/0306204
23. Giedt J. Non-positive fermion determinants in lattice supersymmetry hep-lat/0304006
24. Krauth W. Nicolai H. Staudacher M. Monte Carlo approach to M-theory Phys. Lett. B 431 1998 31 hep-th/9803117.
25. Ambjorn J. Anagnostopoulos K.N. Bietenholz W. Hotta T. Nishimura J. Large N dynamics of dimensionally reduced 4D SU(N) super-Yang-Mills theory JHEP 0007 2000 013 hep-th/0003208
26. Anagnostopoulos K.N. Nishimura J. New approach to the complex-action problem and its application to a nonperturbative study of superstring theory Phys. Rev. D 66 2002 106008 hep-th/0108041
27. Ambjorn J. Anagnostopoulos K.N. Nishimura J. Verbaarschot J.J. The factorization method for systems with a complex action: a test in random matrix theory for finite density QCD JHEP 0210 2002 062 hep-lat/0208025.
28. Azcoiti V. Di Carlo G. Galante A. Laliena V. New proposal for numerical simulations of theta-vacuum like systems Phys. Rev. Lett. 89 2002 141601 hep-lat/0203017.
29. Nishimura J. Factorization method for simulating QCD at finite density hep-lat/0305015
30. Smilga A.V. Effective Lagrangians for (0 + 1) and (1 + 1) dimensionally reduced versions of D = 4 N = 2 SYM theory Nucl. Phys. B 652 2003 93 hep-th/0209187.
31. Seiberg N. Witten E. Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory Nucl. Phys. B 426 1994 19
32. Seiberg N. Witten E. Nucl. Phys. B 430 1994 485 hep-th/9407087.