2015
DOI: 10.1140/epjc/s10052-015-3512-8
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Heat-kernel approach for scattering

Abstract: An approach for solving scattering problems, based on two quantum field theory methods, the heat-kernel method and the scattering spectral method, is constructed. This approach converts a method of calculating heat kernels into a method of solving scattering problems. This allows us to establish a method of scattering problems from a method of heat kernels. As an application, we construct an approach for solving scattering problems based on the covariant perturbation theory of heat-kernel expansions. In order … Show more

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Cited by 27 publications
(29 citation statements)
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References 67 publications
(98 reference statements)
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“…The method developed in the present paper is an integral equation method for solving scattering phase shifts. This method can be applied to the scattering spectral method [37,38] and heat kernel method [39][40][41][42][43]. Furthermore, through the scattering spectral method and the heat kernel method, the method for scattering phase shift can be used to quantum field theory [37,[44][45][46].…”
Section: Resultsmentioning
confidence: 99%
“…The method developed in the present paper is an integral equation method for solving scattering phase shifts. This method can be applied to the scattering spectral method [37,38] and heat kernel method [39][40][41][42][43]. Furthermore, through the scattering spectral method and the heat kernel method, the method for scattering phase shift can be used to quantum field theory [37,[44][45][46].…”
Section: Resultsmentioning
confidence: 99%
“…In quantum mechanical scattering theory, the scattering amplitude is described by the scattering phase shift. We have developed a method for the calculation of the scattering phase shift based on the heat kernel theory [27,28]. This method can also be used to calculate the scattering amplitude in gravitational wave scattering.…”
Section: Resultsmentioning
confidence: 99%
“…The scattering phase shift is determined by solving the Helmholtz equation with the boundary condition on the obstacle. In further works, we can apply the heat-kernel method to calculate the scattering phase shift using the approach developed in [23][24][25][26].…”
Section: Discussionmentioning
confidence: 99%