Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · hep-lat/9611001

Finite Temperature Properties of the SO(3) Lattice Gauge Theory

Srinath Cheluvaraja·H. S. Sharatchandra
View original source ↗Read source document ↗Export metadata ↓

Abstract

We make a numerical study of the finite temperature properties of the SO(3) lattice gauge theory. As its symmetry properties are quite different from those of the SU(2) LGT, a different set of observables have to be considered in this model. We study several observables, such as, the plaquette square, the Z(2) monopole density, the fundamental and adjoint Wilson line, and the tiled Wilson line correlation function. Our simulations show that the Z(2) monopoles condense at strong coupling just as in the bulk system. This transition is seen at approximately the same location as in the bulk system. A surprising observation is the multiple valuedness of the adjoint Wilson line at high temperatures. At high temperatures, we observe long lived metastable states in which the adjoint Wilson line takes positive and negative values. The numerical values of other observables in these two states appear to be almost the same. We study these states using different methods and also make comparisons with the high temperature behaviour of the SU(2) LGT. Finally, we discuss various interpretations of our results and point out their relevance for the phase diagram of the SO(3) LGT at finite temperature.

Explore related subjects

hep-lat

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Srinath Cheluvaraja, H. S. Sharatchandra. 1998-09-23. Finite Temperature Properties of the SO(3) Lattice Gauge Theory. https://arxiv.org/abs/hep-lat/9611001

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Exact and Near-Exact Inverse Renormalization Group with Constrained Monte Carlo

We establish conditions for exactness of the inverse renormalization group via constrained Markov processes, a class of Monte Carlo simulations which sample the degrees of freedom within a block on a fine lattice under the constraint that they remain consistent with the corresponding degree of freedom on the coarse lattice according to a forward renormalization group transformation. We show analytically, for an arbitrary transformation, that constrained Markov processes correspond to an exact inversion of the renormalization group at the fixed point action, and to a near-exact inversion in the vicinity of the fixed point. We then optimize renormalization group transformations directly on inversely renormalized configurations to effectively map the action onto itself and ensure computational stability in the generation of configurations for high-dimensional systems. Starting from a set of uncorrelated configurations for the three-dimensional $ϕ^{4}$ quantum field theory at lattice volume $V=16^{3}$, we invert the renormalization group with constrained Monte Carlo to construct a set of uncorrelated, near-equilibrium configurations for $V=128^{3}$ and extract two critical exponents of the system. The inversion exhibits no critical slowing down, with dynamic critical exponent $z=0.03(2)$.

hep-lat↗
arXiv2026

First Overlap Formulation and Perturbative Results for Supersymmetric QCD

We present a lattice formulation of N=1 supersymmetric QCD (SQCD) based on overlap fermions, providing a discretization consistent with the Ginsparg-Wilson relation. Particular emphasis is placed on the construction of Yukawa terms that preserve a lattice-modified chiral symmetry involving overlap quarks and gluinos. To realize this modified chiral symmetry in the Yukawa sector, we follow Lüscher's strategy and introduce auxiliary Dirac and Majorana fermionic fields for the quark and gluino fields, respectively. After functional integration over these auxiliary fields, ultralocal interaction terms arise as additional contributions to the lattice action. Within this framework, and using the Wilson gauge action for gluons, we also carry out one-loop perturbative calculations. In particular, we compute the self-energies of the quark, gluon, gluino, and squark fields in the presence of quark and squark masses, enabling an unambiguous determination of the corresponding field and mass counterterms on the lattice. This work provides a robust foundation for future perturbative determinations of the fine-tunings of the gauge, Yukawa, and quartic couplings, and already shows, as expected, a reduction in the number of required counterterms relative to Wilson-type fermions.

hep-lat↗
arXiv2026

Quark-mass dependence of two-nucleon scattering

Understanding how the properties of the visible Universe depend on the parameters of the Standard Model of particle physics requires \emph{ab initio} theoretical computations. To that end, we investigate the quark-mass dependence of low-energy nucleon-nucleon scattering in the deuteron and dineutron channels. We perform lattice-QCD calculations at pion masses $M_π\approx 200$ and $280$ MeV and compare their results to phenomenology at the physical point and to a previous calculation at $M_π\approx 710$ MeV. Scattering amplitudes, phase shifts, and threshold parameters are determined from finite-volume spectra using quantization conditions that explicitly incorporate long-distance effects from one-pion exchange. We analyze the pion-mass dependence of scattering lengths and effective ranges using chiral effective field theory with Weinberg and Kaplan-Savage-Wise power countings. From this, we estimate the pion-mass derivatives of the inverse scattering lengths and binding momentum, at the physical point. Both power countings indicate that the deuteron unbinds near $M_π\approx 220$ MeV.

hep-lat↗