On the energy momentum dispersion in the lattice regularization

@article{Berg2012OnTE,
  title={On the energy momentum dispersion in the lattice regularization},
  author={Bernd A. Berg and Zachary A. McDargh},
  journal={Journal of High Energy Physics},
  year={2012},
  volume={2012},
  pages={1-10}
}
A bstractFor a free scalar boson field and for U(1) gauge theory finite volume (infrared) and other corrections to the energy-momentum dispersion in the lattice regularization are investigated calculating energy eigenstates from the fall off behavior of two-point correlation functions. For small lattices the squared dispersion energy defined by $ E_{{\mathrm{dis}\hbox{,}\overrightarrow{k}}}^2=E_{\overrightarrow{k}}^2-E_0^2-4\sum {_{i=1}^{d-1 }} \sin {{\left( {{k_i}/2} \right)}^2} $ is in both… 

References

SHOWING 1-10 OF 20 REFERENCES

Photon in U(1) lattice gauge theory

A Monte Carlo calculation of the spectrum of four-dimensional U(1) lattice gauge theory has been carried out. In the scaling limit ..beta --> beta../sub c/ massive 0/sup + +/, 1/sup + -/, and 2/sup +

Confinement of Quarks

A mechanism for total confinement of quarks, similar to that of Schwinger, is defined which requires the existence of Abelian or non-Abelian gauge fields. It is shown how to quantize a gauge field

Lattice gauge theory

The status of lattice calculations in Quantum Field Theory is reviewed. A major part is devoted to recent progress in formulating exact chiral symmetry on the lattice. Another topic which has

Deconfined SU(2) phase with a massive vector boson triplet

We introduce a model of SU(2) and U(1) vector fields with a local U(2) symmetry. Its action can be obtained in the London limit of a gauge invariant regularization involving two scalar fields.

Heat bath efficiency with a Metropolis-type updating

We illustrate for 4D SU(2) and U(1) lattice gauge theory that sampling with a biased Metropolis scheme is essentially equivalent to using the heat bath algorithm. Only, the biased Metropolis method

Lattice gauge theories: an introduction