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Heat kernel expansion: user's manual
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Dilaton gravity in two-dimensions
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Twist to Close
It has been proposed that the Poincare and some other symmetries of noncommutative field theories should be twisted. Here we extend this idea to gauge transformations and find that twisted gauge…
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Heat kernel, effective action and anomalies in noncommutative theories
Being motivated by physical applications (as the 4 model) we calculate the heat kernel coefficients for generalised laplacians on the Moyal plane containing both left and right multiplications. We…
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Finite-temperature Casimir effect for graphene
We adopt the Dirac model for quasiparticles in graphene and calculate the finite temperature Casimir interaction between a suspended graphene layer and a parallel conducting surface. We find that at…
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Operators, Geometry and Quanta
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Nonassociative Weyl star products
A bstractDeformation quantization is a formal deformation of the algebra of smooth functions on some manifold. In the classical setting, the Poisson bracket serves as an initial conditions, while the…
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Heat kernel asymptotics with mixed boundary conditions
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Exact path integral quantization of generic 2D dilaton gravity
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Noncommutative Heat Kernel
We consider a natural generalisation of the Laplace type operators for the case of noncommutative (Groenewold—Moyal star) product. We demonstrate existence of a power law asymptotic expansion for the…
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