Zone determinant expansions for nuclear lattice simulations

We introduce a new approximation to nucleon matrix determinants that is physically motivated by chiral effective theory. The method involves breaking the lattice into spatial zones and expanding the determinant in powers of the boundary hopping parameter.

[1]  Ilse C. F. Ipsen,et al.  Determinant Approximations , 2011, 1105.0437.

[2]  Dean Lee,et al.  Massless three-dimensional QED with explicit fermions , 2003 .

[3]  A. Budzanowski,et al.  Critical temperature for the nuclear liquid-gas phase transition (from multifragmentation and fission) , 2003, nucl-ex/0302006.

[4]  H. Witała,et al.  Three-nucleon forces from chiral effective field theory , 2002, nucl-th/0208023.

[5]  G. J. Wozniak,et al.  Liquid to vapor phase transition in excited nuclei. , 2001, Physical review letters.

[6]  S. Koonin,et al.  Nuclear matter on a lattice , 1999, nucl-th/9910038.

[7]  A. Kruger,et al.  Effective theory for the two-nucleon system , 1998, nucl-th/9809084.

[8]  E. Epelbaoum,et al.  Low momentum effective theory for nucleons , 1998, nucl-th/9804005.

[9]  M. Wise,et al.  Two nucleon systems from effective field theory , 1998, nucl-th/9802075.

[10]  E. Epelbaoum,et al.  Nuclear forces from chiral Lagrangians using the method of unitary transformation I : Formalism , 1998, nucl-th/9801064.

[11]  M. Wise,et al.  A New expansion for nucleon-nucleon interactions , 1998, nucl-th/9801034.

[12]  Ray,et al.  Two-nucleon potential from chiral Lagrangians. , 1995, Physical review. C, Nuclear physics.

[13]  S. Weinberg.  Three body interactions among nucleons and pions , 1992, hep-ph/9209257.

[14]  Werner Hanke,et al.  Electronic Phase Transitions , 1992 .

[15]  S. Weinberg.  Effective chiral lagrangians for nucleonpion interactions and nuclear forces , 1991 .

[16]  Steven Weinberg,et al.  Nuclear forces from chiral Lagrangians , 1990 .

[17]  A. Kennedy,et al.  Hybrid Monte Carlo , 1988 .

[18]  Gottlieb,et al.  Hybrid-molecular-dynamics algorithms for the numerical simulation of quantum chromodynamics. , 1987, Physical review. D, Particles and fields.

[19]  Sugar,et al.  New algorithm for the numerical simulation of fermions. , 1986, Physical review. B, Condensed matter.

[20]  J. E. Hirsch,et al.  Discrete Hubbard-Stratonovich transformation for fermion lattice models , 1983 .

[21]  R. Sugar,et al.  Method for performing Monte Carlo calculations for systems with fermions , 1981 .

[22]  D. Soper.  Construction of the functional integral representation for fermion Green's functions , 1978 .

[23]  J. Hubbard.  Calculation of Partition Functions , 1959 .

[24]  R. Gastmans.  Gauge Theories: An Introduction , 1976 .

[25]  I. Miyazaki,et al.  AND T , 2022 .