Twisted Boundary Conditions and Effective Mass in Heisenberg-Ising and Hubbard Rings

Author(s):  
B. Sriram Shastry ◽  
Bill Sutherland
2018 ◽  
Vol 48 (5) ◽  
pp. 451-466
Author(s):  
Krissia Zawadzki ◽  
Irene D’Amico ◽  
Luiz N. Oliveira

2019 ◽  
Vol 34 (09) ◽  
pp. 1950052
Author(s):  
Natalia V. Kolomoyets ◽  
Vladimir V. Skalozub

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.


1988 ◽  
Vol 203 (1-2) ◽  
pp. 74-78 ◽  
Author(s):  
Chao-shang Huang ◽  
Wei-dong Zhao ◽  
Zhi-yong Zhao

1998 ◽  
Vol 13 (06) ◽  
pp. 903-914 ◽  
Author(s):  
AKIKAZU HASHIMOTO

Fractional strings in the spectrum of states of open strings attached to a multiply wound D-brane is explained. We first describe the fractional string states in the low energy effective theory where the topology of multiple winding is encoded in the gauge holonomy. The holonomy induces twisted boundary conditions responsible for the fractional moding of these states. We also describe fractional strings in world sheet formulation and compute simple scattering amplitudes for Hawking emission/absorption. Generalization to fractional DN-strings in a one-brane five-brane bound state is described. When a one-brane and a five-brane wraps Q1 and Q5 times respectively around a circle, the momentum of DN-strings is quantized in units of 2π/LQ1Q5. These fractional states appear naturally in the perturbative spectrum of the theory.


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