The lattice Schrödinger functional and the background field effective action

  title={The lattice Schr{\"o}dinger functional and the background field effective action},
  author={Paolo Cea and Leonardo Cosmai and Antonio Davide Polosa},
  journal={Physics Letters B},
Abstract We propose a new method that by using the lattice Schrodinger 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. 

Figures from this paper

Unstable Modes and Confinement in the Lattice SCHRÖDINGER Functional Approach
We analyze the problem of the Nielsen–Olesen unstable modes in the SU(2) lattice gauge theory by means of a recently introduced gauge-invariant effective action. We perform numerical simulations in
External field dependence of deconfinement temperature in SU(3)
Abstract We study vacuum dynamics of SU(3) lattice gauge theory at finite temperature. Using the lattice Schrodinger functional, SU(3) vacuum is probed by means of an external constant Abelian
Probing confinement with chromomagnetic fields
Abstract Using the lattice Schro¨dinger functional we study vacuum dynamics of SU(3) gauge theory at finite temperature. The vacuum is probed by means of an external constant Abelian chromomagnetic
Abelian chromomagnetic fields and confinement
We study vacuum dynamics of SU(3) lattice gauge theory at finite temperature. The SU(3) vacuum is probed by means of an external constant abelian chromomagnetic field. We find that by increasing the
Abelian monopole and vortex condensation in lattice gauge theories
We study abelian monopole and vortex condensation in lattice pure gauge theories. Condensation is detected by means of a disorder parameter defined in terms of a gauge-invariant effective action
Lattice QCD Simulations in External Background Fields
We discuss recent results and future prospects regarding the investigation, by lattice simulations, of the non-perturbative properties of QCD and of its phase diagram in presence of magnetic or
Lattice QCD in Background Fields
We review some recent results about the exploration of strong interactions in presence of external background fields by means of lattice QCD simulations. We discuss in particular studies concerning
Nf = 1 QCD in external magnetic fields: staggered fermions
A bstractWe investigate Nf = 1 QCD in external magnetic fields on the lattice. The background field is introduced by means of the so-called Schrödinger functional. We adopt standard staggered
Perturbing QCD with external fields
We present some up-to-date results on QCD phase transition in a chromomagnetic constant background field and in an abelian monopole background field. Our r esults indicate that the QCD critical


The Schrödinger functional — a renormalizable probe for non-abelian gauge theories
Following Symanzik we argue that the Schrodinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are
Anomalous scale transformations and functional integrals
Abstract A method is presented to analyse euclidean field theories starting from small volume subsystems. It bears resemblance with the real space renormalization group, but it is not limited to the
Monte Carlo estimate of the background field coupling renormalization in the Heisenberg model
Abstract We relate the difference between the bare and renormalized coupling constant in the O( n ) σ-model to the expectation value of one simple observable. For n = 3 numerical results are obtained
Topological excitations and Monte Carlo simulation of Abelian gauge theory
We study the phase structure of lattice electrodynamics in three and four dimensions using Monte Carlo simulation, with special emphasis on the topological excitations of the theory. We formulate an
Glueball masses in QCD3
Abstract We discuss how to extract the spectroscopy of quantum chromodynamics (QCD) in the pure gauge sector from the Hamiltonian lattice field theory approach. The recently developed truncated
Phase transitions in Abelian lattice gauge theories
We study the Euclidean partition function of Abelian lattice (gauge) theories in various dimensions. Using generalizations of mathematical methods developed recently to study the XY model in two
Electric fluxes and twisted free energies in SU(3)
Abstract New methods are implemented and tested to calculate the free energies of the different twisted sectors in SU(3) gauge theory. The energy for one, two and three units of electric flux can be
Equation of State for the SU(3) Gauge Theory.
By investigating the SU(3) gauge theory thermodynamics on lattices of various sizes, this work can control finite lattice cutoff effects and finds a deviation from ideal gas behavior of (15--20)%, even at temperatures as high as {ital T}{similar_to}3{ital T},sub {ital c}}.
  • Phys. B384
  • 1992