scholarly journals Exploring the thermodynamics of noncommutative scalar fields

2016 ◽  
Vol 31 (11) ◽  
pp. 1650057 ◽  
Author(s):  
Francisco A. Brito ◽  
Elisama E. M. Lima

We study the thermodynamic properties of the Bose–Einstein condensate (BEC) in the context of the quantum field theory with noncommutative target space. Our main goal is to investigate in which temperature and/or energy regimes the noncommutativity can characterize some influence on the BEC properties described by a relativistic massive noncommutative boson gas. The noncommutativity parameters play a key role in the modified dispersion relations of the noncommutative fields, leading to a new phenomenology. We have obtained the condensate fraction, internal energy, pressure and specific heat of the system and taken ultrarelativistic (UR) and nonrelativistic (NR) limits. The noncommutative effects on the thermodynamic properties of the system are discussed. We found that there appear interesting signatures around the critical temperature.

2002 ◽  
Vol 297 (2) ◽  
pp. 219-242 ◽  
Author(s):  
Detlev Buchholz ◽  
Izumi Ojima ◽  
Hansjörg Roos

2012 ◽  
Vol 27 (27) ◽  
pp. 1250154 ◽  
Author(s):  
HOURI ZIAEEPOUR

In this paper, we address some of the issues raised in the literature about the conflict between a large vacuum energy density, a priori predicted by quantum field theory, and the observed dark energy which must be the energy of vacuum or include it. We present a number of arguments against this claim and in favor of a null vacuum energy. They are based on the following arguments: A new definition for the vacuum in quantum field theory as a frame-independent coherent state; results from a detailed study of condensation of scalar fields in Friedmann–Lemaître–Robertson–Walker (FLRW) background performed in a previous work; and our present knowledge about the Standard Model of particle physics. One of the predictions of these arguments is the confinement of nonzero expectation value of Higgs field to scales roughly comparable with the width of electroweak gauge bosons or shorter. If the observation of Higgs by the LHC is confirmed, accumulation of relevant events and their energy dependence in near future should allow us to measure the spatial extend of the Higgs condensate.


1979 ◽  
Vol 21 (2) ◽  
pp. 317-332
Author(s):  
J. W. Johnstion ◽  
J. Cumming ◽  
E. W. Laing

The methods of thermodynamic quantum field theory are used to obtain the equation of state and other thermodynamic properties of a plasma. Electrons may be partially degenerate, while ions are treated classically and restricted to charge number Z = 1 or 2. Results are obtained for densities in the range 1026–1034 m−3and for temperatures of 105–108 K.


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