- Access by Xinjiang University
Fermions in the pseudoparticle approach
Phys. Rev. D 76, 076002 – Published 3 October, 2007
DOI: https://doi.org/10.1103/PhysRevD.76.076002
Abstract
The pseudoparticle approach is a numerical technique to compute path integrals without discretizing spacetime. The basic idea is to integrate over those field configurations, which can be represented by a sum of a fixed number of localized building blocks (pseudoparticles). In a couple of previous papers we have successfully applied the pseudoparticle approach to pure SU(2) Yang-Mills theory. In this work I discuss how to incorporate fermionic fields in the pseudoparticle approach. To test the method, I compute the phase diagram of the -dimensional Gross-Neveu model in the large- limit.
Article Text
References (19)
- F. Lenz, J. W. Negele, and M. Thies, Phys. Rev. D 69, 074009 (2004).
- J. W. Negele, F. Lenz, and M. Thies, Nucl. Phys. B, Proc. Suppl. 140, 629 (2005).
- M. Wagner and F. Lenz, Proc. Sci., LAT2005 (2006) 315 [arXiv:hep-lat/0510083].
- M. Wagner, Phys. Rev. D 75, 016004 (2007).
- M. Wagner, AIP Conf. Proc. 892, 231 (2007).
- P. Gerhold, E. M. Ilgenfritz, and M. Müller-Preussker, Nucl. Phys. B760, 1 (2007).
- P. Gerhold, E. M. Ilgenfritz, M. Müller-Preussker, B. V. Martemyanov, and A. I. Veselov, AIP Conf. Proc. 892, 213 (2007).
- A. A. Andrianov, L. Bonora, and R. Gamboa-Saravi, Phys. Rev. D 26, 2821 (1982).
- A. A. Andrianov and L. Bonora, Nucl. Phys. B233, 232 (1984).
- A. A. Andrianov and L. Bonora, Nucl. Phys. B233, 247 (1984).
- D. J. Gross and A. Neveu, Phys. Rev. D 10, 3235 (1974).
- R. F. Dashen, S. K. Ma, and R. Rajaraman, Phys. Rev. D 11, 1499 (1975).
- U. Wolff, Phys. Lett. 157B, 303 (1985).
- M. Thies and K. Urlichs, Phys. Rev. D 67, 125015 (2003).
- O. Schnetz, M. Thies, and K. Urlichs, Ann. Phys. (N.Y.) 314, 425 (2004).
- J. I. Kapusta, Finite-temperature field theory (Cambridge University Press, Cambridge, England, 1989).
- P. de Forcrand and U. Wenger, Proc. Sci., LAT2006 (2006) 152.
- G. Farin, Curves and surfaces for CAGD: A practical guide, (Morgan Kaufmann, San Francisco, CA, 2001).
- http://mathworld.wolfram.com/B-Spline.html.