scholarly journals On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background

2006 ◽  
Vol 639 (5) ◽  
pp. 586-590 ◽  
Author(s):  
J. Alfaro ◽  
A.A. Andrianov ◽  
M. Cambiaso ◽  
P. Giacconi ◽  
R. Soldati
Keyword(s):  
Lorentz Invariance ◽  
Axial Vector ◽  
Invariance Violation ◽  
Lorentz Invariance Violation

scholarly journals Topologically non-trivial solution in a dissipative φ4 model with Lorentz-invariance violation

2021 ◽  
Vol 57 (3) ◽  
pp. 347-352
Author(s):  
M. A. Knyazev
Keyword(s):  
Trivial Solution ◽  
Lorentz Invariance ◽  
Analytical Form ◽  
Equation Of Motion ◽  
Hirota Method ◽  
Partial Derivatives ◽  
Invariance Violation ◽  
Lorentz Invariance Violation

In this paper a (1+1)-dimension equation of motion for φ4-theory is considered for the case of simultaneously taking into a account of the processes of dissipation and violation the Lorentz-invariance. A topological non-trivial solution of one-kink type for this equation is constructed in an analytical form. To this end, the modified direct Hirota method for solving the nonlinear partial derivatives equations was used. A modification of the method lead to special conditions on the parameters of the model and the solution.

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