Thermalization algorithms for classical gauge theories

Krasnitz, A.

doi:10.1016/0550-3213(95)00465-5

Cited by 25 publications

(47 citation statements)

References 25 publications

(42 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To this end, the algorithm of choice for the problem at hand is the leapfrog algorithm [46]. This integration scheme requires that the Hamiltonian be a sum of gauge-invariant kinetic K (dependent on fields only) and potential V (dependent on conjugate momenta only) terms, and under this condition, has the advantage of respecting the Gauss constraints exactly [45]. Our lattice Hamiltonian (41) obviously has the necessary K + V form, thus the leapfrog algorithm is applicable.…”

Section: Appendix A: Numerical Methodsmentioning

confidence: 99%

Non-perturbative computation of gluon mini-jet production in nuclear collisions at very high energies

Krasnitz

Venugopalan²

1999

Nuclear Physics B

302

384

View full text Add to dashboard Cite

At very high energies, in the infinite momentum frame and in light cone gauge, a hard scale proportional to the high parton density arises in QCD. In an effective theory of QCD at small x, this scale is of order α S µ, where µ is simply related to the gluon density at higher rapidities. The ab initio real time evolution of small x modes in a nuclear collision can be described consistently in the classical effective theory and various features of interest can be studied non-perturbatively. In this paper, we discuss results from a real time SU(2) lattice computation of the production of gluon jets at very high energies. At very large transverse momenta, k t ≥ µ, our results match the predictions from pQCD based mini-jet calculations.Novel non-perturbative behaviour of the small x modes is seen at smaller momenta k t ∼ α S µ.Gauge invariant energy-energy correlators are used to estimate energy distributions evolving in proper time.

show abstract

Section: Appendix A: Numerical Methodsmentioning

confidence: 99%

Non-perturbative computation of gluon mini-jet production in nuclear collisions at very high energies

Krasnitz

Venugopalan²

1999

Nuclear Physics B

302

384

View full text Add to dashboard Cite

show abstract

“…We should also note that there is no obstacle to applying a Langevin type thermalization algorithm based on the one developed in [43], and in particular that it is trivial to couple Langevin noise to the particle momenta. This might be important if one wanted to simulate thermalization of these modes through interactions with some other degrees of freedom, for instance strong scattering of fermions in the electroweak model.…”

Section: Discrete Time Update Algorithmmentioning

confidence: 99%

Chern-Simons number diffusion with hard thermal loops

1998

View full text Add to dashboard Cite

We construct an extension of the standard Kogut-Susskind lattice model for classical 3+1 dimensional Yang-Mills theory, in which "classical particle" degrees of freedom are added. We argue that this will correctly reproduce the "hard thermal loop" effects of hard degrees of freedom, while giving a local implementation which is numerically tractable. We prove that the extended system is Hamiltonian and has the same thermodynamics as dimensionally reduced hot Yang-Mills theory put on a lattice. We present a numerical update algorithm and study the abelian theory to verify that the classical gauge theory self-energy is correctly modified. Then we use the extended system to study the diffusion constant for Chern-Simons number. We verify the Arnold-Son-Yaffe picture that the diffusion constant is inversely proportional to hard thermal loop strength. Our numbers correspond to a diffusion constant of Γ = 29 ± 6α

show abstract

“…We can therefore study both mechanisms that may be thought to affect fluxoid formation in this system. We use a gauge-invariant Langevin formulation for gauge and scalar fields, making use of Krasnitz's work on formulating Langevin equations for systems with first-class constraints 12 .…”

Section: Simulationsmentioning

confidence: 99%

Defect Formation in Superconducting Rings: External Fields and Finite-Size Effects

2012

View full text Add to dashboard Cite

Consistent with the predictions of Kibble and Zurek, scaling behaviour has been seen in the production of fluxoids during temperature quenches of superconducting rings. However, deviations from the canonical behaviour arise because of finite-size effects and stray external fields.Technical developments, including laser heating and the use of long Josephson tunnel junctions, have improved the quality of data that can be obtained. With new experiments in mind we perform large-scale 3D simulations of quenches of small, thin rings of various geometries with fully dynamical electromagnetic fields, at nonzero externally applied magnetic flux. We find that the outcomes are, in practice, indistinguishable from those of much simpler Gaussian analytical approximations in which the rings are treated as one-dimensional systems and the magnetic field fluctuation-free.

show abstract

Thermalization algorithms for classical gauge theories

Cited by 25 publications

References 25 publications

Non-perturbative computation of gluon mini-jet production in nuclear collisions at very high energies

Non-perturbative computation of gluon mini-jet production in nuclear collisions at very high energies

Chern-Simons number diffusion with hard thermal loops

Defect Formation in Superconducting Rings: External Fields and Finite-Size Effects

Contact Info

Product

Resources

About