logarithmic interaction
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2016 ◽  
Vol 23 (5) ◽  
pp. 052115 ◽  
Author(s):  
Sergey A. Khrapak ◽  
Boris A. Klumov ◽  
Alexey G. Khrapak

2015 ◽  
Vol 47 (1) ◽  
pp. 1-25 ◽  
Author(s):  
José Antonio Carrillo ◽  
Daniele Castorina ◽  
Bruno Volzone

1997 ◽  
Vol 12 (23) ◽  
pp. 4155-4165
Author(s):  
E. C. Marino ◽  
Flávio I. Takakura

We introduce and study a pure gauge Abelian theory in 2 + 1D in which massive quantum vortex states do exist in the spectrum of excitations. This theory can be mapped in a three-dimensional gas of point particles with a logarithmic interaction, in the grand-canonical ensemble. We claim that this theory is the 2 + 1D analog of the sine–Gordon, the massive vortices being the counterparts of sine–Gordon solitons. We show that a symmetry breaking, order parameter, similar to the vacuum expectation value of a Higgs field does exist.


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