# The lattice Schrödinger functional and the background field effective action

@article{Cea1996TheLS, 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}, year={1996}, volume={392}, pages={177-181} }

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.

#### 17 Citations

Unstable Modes and Confinement in the Lattice SCHRÖDINGER Functional Approach

- Physics
- 1996

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…

SU(2) vacuum dynamics in applied external magnetic field

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- 1999

The vacuum dynamics of SU(2) lattice gauge theory is studied by means of a gauge-invariant effective action, both at zero and finite temperature. Working with lattices up to 324 we check the scaling…

External field dependence of deconfinement temperature in SU(3)

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- 2001

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

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- 2003

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

- Physics
- 2003

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

- Physics
- 2001

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

- Physics
- 2013

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

- Physics
- 2013

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

- Physics
- 2015

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

- Physics
- 2007

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…

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