On the Logarithmic Triviality of Scalar Quantum Electrodynamics

Details On the Logarithmic Triviality of Scalar Quantum Electrodynamics On the Logarithmic Triviality of Scalar Quantum Electrodynamics

1993-05-07

arxiv.org/abs/hep-lat/9305008v1

Phys.Rev.D48:2385-2388,1993

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages

Scientific paper

10.1103/PhysRevD.48.R2385

Using finite size scaling and histogram methods we obtain numerical results from lattice simulations indicating the logarithmic triviality of scalar quantum electrodynamics, even when the bare gauge coupling is chosen large. Simulations of the non-compact formulation of the lattice abelian Higgs model with fixed length scalar fields on $L^{4}$ lattices with $L$ ranging from $6$ through $20$ indicate a line of second order critical points. Fluctuation-induced first order transitions are ruled out. Runs of over ten million sweeps for each $L$ produce specific heat peaks which grow logarithmically with $L$ and whose critical couplings shift with $L$ picking out a correlation length exponent of $0.50(5)$ consistent with mean field theory. This behavior is qualitatively similar to that found in pure $\lambda\phi^{4}$.

Affiliated with

Also associated with

No associations

Rating

On the Logarithmic Triviality of Scalar Quantum Electrodynamics 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 On the Logarithmic Triviality of Scalar Quantum Electrodynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Logarithmic Triviality of Scalar Quantum Electrodynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-316148