scholarly journals Fractional instantons and bions in the principal chiral model on ℝ 2 × S 1 $$ {\mathrm{\mathbb{R}}}^2\times {S}^1 $$ with twisted boundary conditions

2015 ◽  
Vol 2015 (8) ◽  
Author(s):  
Muneto Nitta
Keyword(s):  
Boundary Conditions ◽  
Chiral Model ◽  
Principal Chiral Model ◽  
Twisted Boundary Conditions

scholarly journals Yang-Baxter deformations of the AdS5×S5 supercoset sigma model from 4D Chern-Simons theory

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Osamu Fukushima ◽  
Jun-ichi Sakamoto ◽  
Kentaroh Yoshida
Keyword(s):  
Boundary Conditions ◽  
Sigma Model ◽  
Simons Theory ◽  
Chiral Model ◽  
Model Case ◽  
Principal Chiral Model ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract We present homogeneous Yang-Baxter deformations of the AdS5×S5 supercoset sigma model as boundary conditions of a 4D Chern-Simons theory. We first generalize the procedure for the 2D principal chiral model developed by Delduc et al. [5] so as to reproduce the 2D symmetric coset sigma model, and specify boundary conditions governing homogeneous Yang-Baxter deformations. Then the conditions are applicable for the AdS5×S5 supercoset sigma model case as well. In addition, homogeneous bi-Yang-Baxter deformation is also discussed.

scholarly journals Entanglement in Finite Quantum Systems Under Twisted Boundary Conditions

2018 ◽  
Vol 48 (5) ◽  
pp. 451-466
Author(s):  
Krissia Zawadzki ◽  
Irene D’Amico ◽  
Luiz N. Oliveira
Keyword(s):  
Boundary Conditions ◽  
Quantum Systems ◽  
Finite Quantum Systems ◽  
Twisted Boundary Conditions

scholarly journals Color structure of gluon field magnetic mass

2019 ◽  
Vol 34 (09) ◽  
pp. 1950052
Author(s):  
Natalia V. Kolomoyets ◽  
Vladimir V. Skalozub
Keyword(s):  
Monte Carlo ◽  
Boundary Conditions ◽  
Monte Carlo Simulations ◽  
Finite Temperature ◽  
Color Structure ◽  
Enhancing Factor ◽  
Abelian Field ◽  
Chromomagnetic Field ◽  
Magnetic Mass ◽  
Twisted Boundary Conditions

The color structure of the gluon field magnetic mass is investigated in the lattice SU(2) gluodynamics. To realize that the interaction between a monopole–antimonopole string and external neutral Abelian chromomagnetic field flux is considered. The string is introduced in the way proposed by Srednicki and Susskind. The neutral Abelian field flux is introduced through the twisted boundary conditions. Monte Carlo simulations are performed on 4D lattices at finite temperature. It is shown that the presence of the Abelian field flux weakens the screening of the string field. That means decreasing the gluon magnetic mass for this environment. The contribution of the neutral Abelian field has the form of “enhancing” factor in the fitting functions. This behavior independently confirms the long-range nature of the neutral Abelian field reported already in the literature. The comparison with analytic calculations is given.

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