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Covariant gauge on the lattice: a new implementation
Attilio Cucchieri1, Tereza Mendes, Elton M S Santos
1Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP, Brazil.
Physical Review Letters
|November 13, 2009
Summary
We introduce a novel lattice gauge fixing method inspired by spin-glass models, overcoming previous limitations. This approach successfully addresses the no-go condition and yields preliminary results for the transverse gluon propagator.
Area of Science:
- Quantum Field Theory
- Lattice Gauge Theory
- Statistical Mechanics
Background:
- Linear covariant gauges are crucial for lattice quantum field theory calculations.
- Previous implementations faced challenges, notably the no-go condition by Giusti.
- A robust gauge fixing method is needed for accurate lattice simulations.
Purpose of the Study:
- To develop a new, reliable implementation of linear covariant gauges on the lattice.
- To overcome limitations of existing methods, particularly the Giusti no-go condition.
- To investigate the transverse gluon propagator using the new method.
Main Methods:
- Derivation of a new gauge fixing method based on a minimizing functional.
- Interpretation of the functional as a spin-glass model Hamiltonian.
- Testing the method in the SU(2) case in four space-time dimensions.
Main Results:
- The new method successfully resolves issues related to the no-go condition.
- Demonstrated applicability in SU(2) lattice gauge theory.
- Preliminary results for the transverse gluon propagator are presented.
Conclusions:
- The developed method offers a viable solution for linear covariant gauge fixing on the lattice.
- This approach advances lattice gauge theory simulations.
- Further studies on the transverse gluon propagator are warranted.
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