The external field problem for QCD期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The external field problem for QCD

Authors:	Richard Brower

Affiliation:	Physics Department, Harvard University, Cambridge, MA 02138, USA Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA Department of Physics, Brown University, Providence, RI 02912, USA

Abstract:	In lattice gauge theory, many computations such as the strong coupling expansions, mean field theory, or the few plaquette models require the evaluation of the one-link integral in the presence of an arbitrary N × N complex matrix source (J). For SU(N) gauge theories, we express our general solution to the external field problem as an integral over the maximal abelian subgroup [U(1)]^N?1 $∫ d U e^{?r(J^{+}U+U^{+}J)} =∫ ∏ i=1 N d ø_{iδ} p (Σø_{i}) e^{S_{0}+InG}$ where S₀ = 2Σ_kz_k cos(φ_k ? θ), z_j are eigenvalues of √JJ⁺, e^2iNθ=detJ/detJ⁺, and G is an appropriate jacobian determinant. Our explicit solution follows from differential Schwinger-Dyson equations cast in a separable form by using fermionic variables, and the special cases of N = 2, 3 and ∞ agree with earlier derivations.

Keywords:
本文献已被 ScienceDirect 等数据库收录！