scholarly journals Sphaleron rate from Euclidean lattice correlators: An exploration

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
Luis Altenkort ◽  
Alexander M. Eller ◽  
O. Kaczmarek ◽  
Lukas Mazur ◽  
Guy D. Moore ◽  
...  
Keyword(s):  
Euclidean Lattice

Enumerating periodic patterns of synchrony via finite bidirectional networks

2009 ◽  
Vol 466 (2115) ◽  
pp. 891-910
Author(s):  
Ana Paula S. Dias ◽  
Eliana Manuel Pinho
Keyword(s):  
Nearest Neighbour ◽  
Periodic Patterns ◽  
Finite Dimensional ◽  
Spatial Periodicity ◽  
Coupled Cell Networks ◽  
Euclidean Lattice ◽  
Lattice Network ◽  
Bidirectional Networks ◽  
The Given ◽  
Cell Networks

Periodic patterns of synchrony are lattice networks whose cells are coloured according to a local rule, or balanced colouring, and such that the overall system has spatial periodicity. These patterns depict the finite-dimensional flow-invariant subspaces for all the lattice dynamical systems, in the given lattice network, that exhibit those periods. Previous results relate the existence of periodic patterns of synchrony, in n -dimensional Euclidean lattice networks with nearest neighbour coupling architecture, with that of finite coupled cell networks that follow the same colouring rule and have all the couplings bidirectional. This paper addresses the relation between periodic patterns of synchrony and finite bidirectional coloured networks. Given an n -dimensional Euclidean lattice network with nearest neighbour coupling architecture, and a colouring rule with k colours, we enumerate all the periodic patterns of synchrony generated by a given finite network, or graph. This enumeration is constructive and based on the automorphisms group of the graph.

RENORMALIZATION OF THE SINE-GORDON MODEL AND NONCONSERVATION OF THE KINK CURRENT

1991 ◽  
Vol 06 (03) ◽  
pp. 409-429 ◽  
Author(s):  
KERSON HUANG ◽  
JANOS POLONYI
Keyword(s):  
Renormalization Group ◽  
Phase Structure ◽  
Continuum Limit ◽  
Renormalization Group Flow ◽  
Small Coupling ◽  
Vortex Density ◽  
Euclidean Lattice ◽  
Sine Gordon Model ◽  
Group Flow ◽  
The Continuum

We renormalize the (1+1)-dimensional sine-Gordon model by placing it on a Euclidean lattice, and study the renormalization group flow. We start with a compactified theory with controllable vortex activity. In the continuum limit the theory has a phase in which the kink current is anomalous, with divergence given by the vortex density. The phase structure is quite complicated. Roughly speaking, the system is normal for small coupling T. At the Kosterlitz-Thouless point T=π/2, the current can become anomalous. At the Coleman point T=8π, either the current becomes anomalous or the theory becomes trivial.

scholarly journals Euclidean lattice simulation for dynamical supersymmetry breaking

2008 ◽  
Vol 77 (9) ◽  
Author(s):  
Issaku Kanamori ◽  
Hiroshi Suzuki ◽  
Fumihiko Sugino
Keyword(s):  
Supersymmetry Breaking ◽  
Lattice Simulation ◽  
Euclidean Lattice

Link fermions in Euclidean lattice gauge theory

1984 ◽  
Vol 29 (4) ◽  
pp. 704-715 ◽  
Author(s):  
R. Brower ◽  
R. Giles ◽  
G. Maturana
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Euclidean Lattice

LATTICE FIELD THEORY

2007 ◽  
Vol 16 (09) ◽  
pp. 2638-2679
Author(s):  
KARL JANSEN
Keyword(s):  
Field Theory ◽  
Harmonic Oscillator ◽  
Quantum Chromodynamics ◽  
Quark Mass ◽  
Quantum Mechanical ◽  
Lattice Field Theory ◽  
Lattice Field ◽  
Euclidean Lattice ◽  
Simulation Results ◽  
Physical Quantities

Starting with the example of the quantum mechanical harmonic oscillator, we develop the concept of euclidean lattice field theory. After describing Wilson's formulation of quantum chromodynamics on the lattice, we will introduce modern lattice QCD actions which greatly reduce lattice artefacts or are even chiral invariant. The substantial algorithmic improvements of the last couple of years will be shown which led to a real breakthrough for dynamical Wilson fermion simulations. Finally, we will present some results of present simulations with dynamical quarks and demonstrate that nowadays even at small values of the quark mass high precision simulation results for physical quantities can be obtained.

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