Physics
Scientific paper
Mar 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..aprj14003m&link_type=abstract
American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #J14.003
Physics
Scientific paper
Lattice Gauge Theory (LGT) describes gauge and matter fields on a discrete Euclidian space-time lattice. Due to the finite spacing between the lattice points, there is a built-in ultra-violet energy cutoff. Additionally, there is an infrared energy cutoff in computer simulations due to the finite size of the lattice. With these approximations, the energy-momentum dispersion becomes modified. In this project, we study the recovery of the continuous energy-momentum dispersion. We perform fits of the correlation function from Markov Chain Monte Carlo (MCMC) simulations for various lattice sizes and spacings for a free-scalar field and for an Abelian U(1) gauge field. For the scalar field, we also vary the mass of the particles; for U(1) LGT, we vary the coupling constant β. These fits return the energy of a particle at definite momentum, from which the mass can be recovered using the energy-momentum dispersion. It is found that the finite-size effect in MCMC calculations decreases as (-N), where N is the space dimension of the lattice. Furthermore, the effect is more significant for larger masses (scalar field) and coupling constant values near the phase transition βc=1.01 (U(1) LGT).
No associations
LandOfFree
Finite Lattice Size Corrections the Energy-Momentum Dispersion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Finite Lattice Size Corrections the Energy-Momentum Dispersion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite Lattice Size Corrections the Energy-Momentum Dispersion will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1370479