# Space-time noncommutative theories at finite temperature

@article{Strelchenko2007SpacetimeNT, title={Space-time noncommutative theories at finite temperature}, author={Alexei Strelchenko and Dmitri Vassilevich}, journal={Physical Review D}, year={2007}, volume={76}, pages={065014} }

We analyze renormalization and the high-temperature expansion of the one-loop effective action of the space-time noncommutative {phi}{sup 4} theory by using the zeta-function regularization in the imaginary-time formalism (i.e., on S{sup 1}xR{sup 3}). Interestingly enough, there are no mixed (nonplanar) contributions to the counterterms as well as to the power-law high-temperature asymptotics. We also study the Wick rotation and formulate assumptions under which the real and imaginary-time…

## 12 Citations

### On spacetime noncommutative U(1) model at high temperature

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We extend the results of Strelchenko and Vassilevich (2007 Phys. Rev. D 76 065014) to noncommutative gauge theories at finite temperature. In particular, by making use of the background field method,…

### Symmetry breaking in noncommutative finite temperature λϕ4 theory with a nonuniform ground state

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We consider the CJT effective action at finite temperature for a noncommutative real scalar field theory, with noncommutativity among space and time variables. We study the solutions of a stripe type…

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We study thermal effects for a noncommutative real scalar field in 2+1 dimensions including a Grosse-Wulkenhaar term. Using a perturbative expansion for the free energy, we deduce some general…

### Symmetry breaking in nonuniform noncommutative $\lambda\phi^4$ theory at finite temperature

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We consider the 2PI Cornwall-Jackiw-Tomboulis effective action at finite temperature for a noncommutative real scalar field theory in 4 dimensions, with noncommutativity among space and time…

### Global and local aspects of spectral actions

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The principal object in noncommutative geometry is the spectral triple consisting of an algebra , a Hilbert space and a Dirac operator . Field theories are incorporated in this approach by the…

### THERMOFIELD DYNAMICS FOR TWISTED POINCARÉ-INVARIANT FIELD THEORIES: WICK THEOREM AND S-MATRIX

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Poincare invariant quantum field theories can be formulated on noncommutative planes if the statistics of fields is twisted. This is equivalent to state that the coproduct on the Poincare group is…

### SOLUTIONS FOR THE LANDAU PROBLEM USING SYMPLECTIC REPRESENTATIONS OF THE GALILEI GROUP

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Symplectic unitary representations for the Galilei group are studied. The formalism is based on the noncommutative structure of the star-product, and using group theory approach as a guide, a…

### Heat Trace Asymptotics on Noncommutative Spaces

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We calculate quantum corrections to the mass of noncommutative 4 kink in (1+1) dimensions for intermediate and large values of the noncommutativity parameter θ. All one-loop divergences are removed…

### Quantum Field, Thermodynamics and Black Hole on Coherent State Representation of Fuzzy Space

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We first use the coherent state formalism of fuzzy space to show that the fuzziness will eliminate point-like structure of a particle in favor of smeared object, which is an exponential decay…

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