The Lattice Schrodinger Functional and the Background Field Effective Action

Abstract

We propose a new method that by using the lattice Schrödinger functional allows to investigate the effective action for external background fields in lattice gauge theories. We show that this method gives sensible results for the case of four-dimensional U(1) gauge theory in an external constant magnetic field.

arXiv comment13 pages, uuencoded compressed (using GNU's gzip) tar file containing 1 LaTeX2e file + 5 encapsulated Postscript figures + elsart.cls + citesort.sty. Replaced version (no changes in the text). The original LaTeX file included Figure 2 at the place of Figure 1

References in corpus (4)

• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
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Cited by in corpus (15)

• Lattice QCD Simulations in External Background Fields
• Abelian chromomagnetic fields and confinement
• A gauge invariant study of the monopole condensation in non Abelian lattice gauge theories
• Imaginary chemical potentials and the phase of the fermionic determinant
• Color Dynamics in External Fields
• Probing the non-perturbative dynamics of SU(2) vacuum
• QCD dynamics in a constant chromomagnetic field
• The deconfining phase transition in full QCD with two dynamical flavors
• Color confinement and dual superconductivity of the vacuum. IV
• Chiral Symmetry Breaking in Planar QED in External Magnetic Fields
• Unstable Modes and Confinement in the Lattice Schrödinger Functional Approach
• Probing Confinement with Chromomagnetic Fields
• N${}_f$ = 1 QCD in External Magnetic Fields: Staggered Fermions
• External Fields and Color Confinement
• SU(2) vacuum dynamics in applied external magnetic field