Self-consistent solution to a fermion determinant with space dependent fields

Abstract
A numerical routine is provided which allows to compute and minimize an energy functional involving a fermion determinant. Such determinants appear whenever fermion degrees of freedom which couple to space-dependent boson fields are treated by functional integral techniques. The energy functional is evaluated by summing over the eigenvalues of a one-particle Dirac Hamiltonian. In order to minimize the energy functional the corresponding eigenfunctions are used to construct the equation of mot...

Title of program: chisol
Catalogue Id: ACVA_v1_0

Nature of problem
Quark fields are integrated out from the Nambu-Jona-Lasinio model yielding a determinant which involves composite meson fields. The fermion determinant is evaluated for static but space-dependent meson field configurations. The configuration which minimizes the corresponding energy functional is constructed self-consistently.

Versions of this program held in the CPC repository in Mendeley Data
ACVA_v1_0; chisol; 10.1016/0010-4655(94)90129-5

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要
本文提供了一套数值程序，可用于计算并最小化含费米子行列式（fermion determinant）的能量泛函。当采用泛函积分（functional integral）方法处理与空间依赖玻色场耦合的费米子自由度时，便会出现此类行列式。该能量泛函通过对单粒子狄拉克哈密顿量（Dirac Hamiltonian）的本征值求和进行求值。为最小化该能量泛函，可利用对应的本征函数构造运动方程。

程序标题：chisol
目录编号：ACVA_v1_0

问题本质
从南部-约纳-拉西尼奥模型（Nambu-Jona-Lasinio model）中积分掉夸克场后，可得到含复合介子场的行列式。针对静态但空间依赖的介子场构型，对费米子行列式进行求值。通过自洽方式构建出可使对应能量泛函取极小值的场构型。

孟德尔莱数据（Mendeley Data）中收录的计算机物理通讯（CPC, Computer Physics Communications）程序库内的该程序版本：ACVA_v1_0；chisol；10.1016/0010-4655(94)90129-5

本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2019年）