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Ullah, Malik Zaka & Alshomrani, Ali Saleh & Alghamdi, Metib, 2020.Physica A: Statistical Mechanics and its Applications, Elsevier, vol. " Significance of non-uniform heat generation/absorption in hydromagnetic flow of nanofluid due to stretching/shrinking disk," Naqvi, Syed Muhammad Raza Shah & Muhammad, Taseer & Saleem, Salman & Kim, Hyun Min, 2020." Magnetized peristaltic particle–fluid propulsion with Hall and ion slip effects through a permeable channel," " Sutterby fluid flow subject to homogeneous–heterogeneous reactions and nonlinear radiation," Hayat, Tasawar & Masood, Faria & Qayyum, Sumaira & Alsaedi, Ahmed, 2020." Hydromagnetic flow of Jeffrey nanofluid due to a curved stretching surface," Saif, Rai Sajjad & Muhammad, Taseer & Sadia, Haleema & Ellahi, Rahmat, 2020." MHD Flow of Nanofluid with Homogeneous-Heterogeneous Reactions in a Porous Medium under the Influence of Second-Order Velocity Slip," IAS Preprint (1976)įulling, S.A., Christensen, S.: Trace anomalies and the Hawking effect.These are the items that most often cite the same works as this one and are cited by the same works as this one. Propagating in a general background metric. D 13, 2188–2203 (1976)Īdler, S., Lieverman, J., Ng, N.J.: Regularization of the stress-energy tensor for vector and scalar particles. 'tHooft, G.: Computation of the quantum effects due to a four dimensional pseudoparticle. Ray, D.B., Singer, I.M.: Advances in Math. University of Cambridge, Preprint (1977)įeynman, R. Gibbons, G.W., Hawking, S.W.: Action integrals and partition functions in quantum gravity. University of Manchester, Preprint (1976) D 13, 3224 (1976)ĭowker, J.S., Critchley, R.: The stress tensor conformal anomaly for scalar and spinor fields. University of Washington, Preprint (1976)ĭowker, J.S., Critchley, R.: Phys. University of Washington, Preprint (1976)īrown, L.S., Cassidy, J.P.: Stress tensor trace anomaly in a gravitational metric: General theory, Maxwell field. 111B, 45 (1976)īrown, L.S.: Stress tensor trace anomaly in a gravitational metric: scalar field. Boston: Publish or Perish 1974Ĭandelas, P., Raine, D.J.: Phys. Gilkey, P.B.: The index theorem and the heat equation. This energy momentum tensor has an anomalous trace.ĭeWitt, B.S.: Dynamical theory of groups and fields in relativity, groups and topology (eds. By functionally differentiating the path integral one obtains an energy momentum tensor which is finite even on the horizon of a black hole. This suggests that there may be a natural cut off in the integral over all black hole background metrics. Using the asymptotic expansion for the heat kernel, one can deduce the behaviour of the path integral under scale transformations of the background metric. The generalized zeta function can be expressed as a Mellin transform of the kernel of the heat equation which describes diffusion over the four dimensional spacetime manifold in a fith dimension of parameter time. This technique agrees with dimensional regularization where one generalises to n dimensions by adding extra flat dimensions. The zeta function is a meromorphic function and its gradient at the origin is defined to be the determinant of the operator. One forms a generalized zeta function from the eigenvalues of the differential operator that appears in the action integral. This paper describes a technique for regularizing quadratic path integrals on a curved background spacetime.
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