Skip to Main Content

Access Provided by Xinjiang University

Physical Review C

Access by Xinjiang University

Lattice gas models derived from effective field theory

Matthew Hamilton, Iyam Lynch, and Dean Lee

Department of Physics, North Carolina State University, Raleigh, North Carolina 27695

Phys. Rev. C 71, 044005 – Published 29 April, 2005

DOI: https://doi.org/10.1103/PhysRevC.71.044005

Abstract

We start from a low-energy effective field theory for interacting fermions on the lattice and expand in the hopping parameter to derive the nearest-neighbor interactions for a lattice gas model. In this model, the renormalization of couplings for different lattice spacings is inherited from the effective field theory, systematic errors can be estimated a priori, and the breakdown of the lattice gas model description at low temperatures can be understood quantitatively. We apply the lattice gas method to neutron matter and compare with results from a recent quantum simulation.

Article Text

References (42)

U. Frisch, B. Hasslacher, and Y. Pomeau, Phys. Rev. Lett. 56, 1505 (1986).
D. H. Rothman and J. M. Keller, J. Stat. Phys. 52, 1119 (1988).
A. K. Gunstensen and D. H. Rothman, Physica D 47, 47 (1991).
D. A. Meyer, Int. J. Mod. Phys. C 8, 717 (1997), quant-ph/9703027.
J. Yepez, Int. J. Mod. Phys. C 9, 1587 (1999).
M. W. Muller, Phys. Rev. B 30, 6196 (1984).
H. Wipf and B. Kappesser, J. Phys.: Condens. Matter 8, 7233 (1996).
J. Pan and S. D. Gupta, Phys. Rev. C 51, 1384 (1995), nucl-th/9501013.
J. Pan and S. Das Gupta, Phys. Lett. B344, 29 (1995), nucl-th/9501014.
S. D. Gupta and J. Pan, Phys. Rev. C 53, 1319 (1996), nucl-th/9512028.
S. Das Gupta, J. Pan, and M. B. Tsang, Phys. Rev. C 54, R2820 (1996), nucl-th/9609066.
T. T. S. Kuo, S. Ray, J. Shamanna, and R. K. Su, Int. J. Mod. Phys. E 5, 303 (1996), nucl-th/9505025.
S. Ray, J. Shamanna, and T. T. S. Kuo, Phys. Lett. B392, 7 (1997), nucl-th/9608025.
J. Pan and S. Das Gupta, Phys. Rev. C 57, 1839 (1998), nucl-th/9711003.
J. Borg, I. N. Mishustin, and J. P. Bondorf, Phys. Lett. B470, 13 (1999), nucl-th/9809079.
W. L. Qian and R.-K. Su, Liquid-gas phase transition in a two-components isopin lattice gas model for asymmetric nuclear matter J. Phys. G 29, 1023 (2003), nucl-th/0210008.
S. Gupta et al., Science 300, 1723 (2003).
K. M. O'Hara, S. L. Hemmer, M. E. Gehm, S. R. Granade, and J. E. Thomas, Science 298, 2179 (2002).
M. E. Gehm, S. L. Hemmer, S. R. Granade, K. M. O'Hara, and J. E. Thomas, Phys. Rev. A 68, 011401(R) (2003).
T. Bourdel, J. Cubizolles, L. Khaykovich, K. M. F. Magalhaes, S. J. J. M. F. Kokkelmans, G. V. Shlyapnikov, and C. Salomon, Phys. Rev. Lett. 91, 020402 (2003).
J. Kinast, S. L. Hemmer, M. E. Gehm, A. Turlapov, and J. E. Thomas, Phys. Rev. Lett. 92, 150402 (2004).
C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004).
S. Weinberg, Phys. Lett. B251, 288 (1990).
S. Weinberg, Nucl. Phys. B363, 3 (1991).
D. B. Kaplan, M. J. Savage, and M. B. Wise, Nucl. Phys. B478, 629 (1996), nucl-th/9605002.
D. B. Kaplan, M. J. Savage, and M. B. Wise, Phys. Lett. B424, 390 (1998), nucl-th/9801034.
E. Epelbaum, W. Glockle, A. Kruger, and U.-G. Meissner, Nucl. Phys. A645, 413 (1999), nucl-th/9809084.
S. R. Beane, P. F. Bedaque, W. C. Haxton, D. R. Phillips, and M. J. Savage (2000), nucl-th/0008064.
P. F. Bedaque and U. van Kolck, Annu. Rev. Nucl. Part. Sci. 52, 339 (2002), nucl-th/0203055.
H. M. Müller, S. E. Koonin, R. Seki, and U. van Kolck, Phys. Rev. C 61, 044320 (2000), nucl-th/9910038.
D. Lee, B. Borasoy, and T. Schaefer, Phys. Rev. C 70, 014007 (2004), nucl-th/0402072.
D. Lee and T. Schaefer (2004), nucl-th/0412002.
B. Friedman and V. R. Pandharipande, Nucl. Phys. A361, 502 (1981).
H. Heiselberg and V. Pandharipande, Annu. Rev. Nucl. Part. Sci. 50, 481 (2000), astro-ph/0003276.
J. M. Lattimer and M. Prakash, Astrophys. J. 550, 426 (2001), astro-ph/0002232.
C. J. Horowitz, Phys. Rev. D 55, 4577 (1997), astro-ph/9603138.
A. Burrows and R. F. Sawyer, Phys. Rev. C 59, 510 (1999), astro-ph/9804264.
A. Burrows and R. F. Sawyer, Phys. Rev. C 58, 554 (1998), astro-ph/9801082.
C. A. Regal and D. S. Jin, Phys. Rev. Lett. 90, 230404 (2003).
D. J. Lee and I. C. F. Ipsen, Phys. Rev. C 68, 064003 (2003), nucl-th/0308052.
M. Lüscher, Commun. Math. Phys. 105, 153 (1986).
S. R. Beane, P. F. Bedaque, A. Parreno, and M. J. Savage Two nucleons on a lattice, Phys. Lett. B585, 106 (2004), hep-lat/0312004.