Search Results - "Vassilevich, D."

Anomaly inflow for local boundary conditions by Ivanov, A. V., Vassilevich, D. V.

“…A bstract We study the η -invariant of a Dirac operator on a manifold with boundary subject to local boundary conditions with the help of heat kernel methods…”
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Fractional fermion number and Hall conductivity of domain walls by Guilarte, J. Mateos, Vassilevich, D.

“…In this letter the fractional fermion number of thick domain walls is computed. The analysis is achieved by developing the heat kernel expansion of the…”
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Nonassociative Weyl star products by Kupriyanov, V.G., Vassilevich, D.V.

“…A bstract Deformation quantization is a formal deformation of the algebra of smooth functions on some manifold. In the classical setting, the Poisson bracket…”
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Soliton fermionic number from the heat kernel expansion by Alonso-Izquierdo, A., Fresneda, Rodrigo, Guilarte, J. Mateos, Vassilevich, D.

“…We consider different methods of calculating the (fractional) fermion number of solitons based on the heat kernel expansion. We derive a formula for the…”
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Renormalization on noncommutative torus by D’Ascanio, D., Pisani, P., Vassilevich, D. V.

“…We study a self-interacting scalar φ 4 theory on the d -dimensional noncommutative torus. We determine, for the particular cases d = 2 and d = 4 , the…”
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Heat kernel expansion: user's manual by Vassilevich, D.V.

“…The heat kernel expansion is a very convenient tool for studying one-loop divergences, anomalies and various asymptotics of the effective action. The aim of…”
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Star products made (somewhat) easier by Kupriyanov, V. G., Vassilevich, D. V.

“…We develop an approach to the deformation quantization on the real plane with an arbitrary Poisson structure which is based on Weyl symmetrically ordered…”
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Spectral Action for Torsion with and without Boundaries by Iochum, B., Levy, C., Vassilevich, D.

“…We derive a commutative spectral triple and study the spectral action for a rather general geometric setting which includes the (skew-symmetric) torsion and…”
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Aspects of AdS2 Holography with Non-Constant Dilaton by Grumiller, D., Salzer, J., Vassilevich, D.

“…In this article we summarize and discuss results presented in [1, 2] in the light of recent developments in holography [3–6]…”
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Area spectrum in Lorentz covariant loop gravity by Alexandrov, S., Vassilevich, D.

“…We use the manifestly Lorentz covariant canonical formalism to evaluate eigenvalues of the area operator acting on Wilson lines. To this end we modify the…”
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Heat Kernel and Number Theory on NC-Torus by Gayral, V., Iochum, B., Vassilevich, D. V.

“…The heat trace asymptotics on the noncommutative torus, where generalized Laplacians are made out of left and right regular representations, is fully…”
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Virtual black holes in generalized dilaton theories by Grumiller, D., Kummer, W., Vassilevich, D.V.

“…The virtual black hole phenomenon, which has been observed previously in specific models, is established for generic 2D dilaton gravity theories with scalar…”
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Stability of a non-commutative Jackiw–Teitelboim gravity by Vassilevich, D.V., Fresneda, R., Gitman, D.M.

“…We start with a non-commutative version of the Jackiw–Teitelboim gravity in two dimensions which has a linear potential for the dilaton fields. We study…”
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Anomaly inflow for local boundary conditions by Ivanov, A. V, Vassilevich, D. V

“…JHEP 09 (2022) 250 We study the $\eta$-invariant of a Dirac operator on a manifold with boundary subject to local boundary conditions with the help of heat…”
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Casimir interaction between a perfect conductor and graphene described by the Dirac model by Bordag, M., Fialkovsky, I. V., Gitman, D. M., Vassilevich, D. V.

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Nonsmooth backgrounds in quantum field theory by Bordag, M., Vassilevich, D. V.

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Duality symmetry of the p-form effective action and supertrace of the twisted de Rham complex by Gilkey, P., Kirsten, K., Vassilevich, D., Zelnikov, A.

“…We consider quantum p-form fields interacting with a background dilaton. We calculate the variation with respect to the dilaton of a difference of the…”
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Heat Kernel, Spectral Functions and Anomalies in Weyl Semimetals by Ivanov, A. V, Kurkov, M. A, Vassilevich, D. V

“…J.Phys.A 55 (2022) 22, 224004 Being motivated by applications to the physics of Weyl semimetals we study spectral geometry of Dirac operator with an abelian…”
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Casimir interaction of strained graphene by Bordag, M., Fialkovsky, I., Vassilevich, D.

“…We calculate the Casimir interaction of two freestanding graphene samples under uniaxial strain. Our approach fully takes retardation and dispersion into…”
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Atiyah-Patodi-Singer Index Theorem for Domain Walls by Ivanov, A. V, Vassilevich, D. V

“…J. Phys. A: Math. Theor. 53, 305201 (2020) We consider the index of a Dirac operator on a compact even dimensional manifold with a domain wall. The latter is…”
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