Zobrazeno 1 - 10
of 2 471
pro vyhledávání: '"zeta function regularization"'
Autor:
Escalante, F.
Spectral functions, such as the zeta functions, are widely used in Quantum Field Theory to calculate physical quantities. In this work, we compute the electrostatic potential and field due to an infinite discrete distribution of point charges, using
Externí odkaz:
http://arxiv.org/abs/2110.15120
Using the fact that a finite sum of power series are given by the difference between two zeta functions, we justify the usage of the zeta function with a negative variable in physical problems to avoid the divergence of the infinite sum. We will show
Externí odkaz:
http://arxiv.org/abs/2109.13451
Autor:
Tafazoli, Siamak
This paper presents a theoretical calculation of the vacuum energy density by summing the contributions of all quantum fields vacuum states which turns out to indicate that there seems to be a missing bosonic contribution in order to match the predic
Externí odkaz:
http://arxiv.org/abs/2003.00299
Autor:
Sharon, Ayal
Quantum Electrodynamics (QED) renormalizaion is a paradox. It uses the Euler-Mascheroni constant, which is defined by a conditionally convergent series. But Riemann's series theorem proves that any conditionally convergent series can be rearranged to
Externí odkaz:
http://arxiv.org/abs/2001.04282
Autor:
Siamak Tafazoli
Publikováno v:
Physical Sciences Forum, Vol 7, Iss 1, p 31 (2023)
This paper presents a theoretical calculation of the vacuum energy density by summing the contributions of all quantum fields’ vacuum states, which turns out to indicate that there seems to be a missing bosonic contribution in order to match the pr
Externí odkaz:
https://doaj.org/article/b430747ff3754b9eb2057370948c1c67
Autor:
Aguilera-Damia, Jeremías, Faraggi, Alberto, Zayas, Leopoldo A. Pando, Rathee, Vimal, Silva, Guillermo A.
Publikováno v:
Phys. Rev. D 98, 046011 (2018)
Using $\zeta$-function regularization, we study the one-loop effective action of fundamental strings in $AdS_5\times S^5$ dual to the latitude $\frac{1}{4}$-BPS Wilson loop in $\mathcal{N}=4$ Super-Yang-Mills theory. To avoid certain ambiguities inhe
Externí odkaz:
http://arxiv.org/abs/1802.03016
Autor:
Monin, A.
Publikováno v:
Phys. Rev. D 94, 085013 (2016)
It is known that not all summation methods are linear and stable. Zeta function regularization is in general non-linear. However, in some cases formal manipulations with "zeta function" regularization (assuming linearity of sums) lead to correct resu
Externí odkaz:
http://arxiv.org/abs/1607.06493
Akademický článek
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Publikováno v:
Phys.Rev. D91 (2015) 6, 065013
In this paper we propose a novel definition of the bosonic spectral action using zeta function regularization, in order to address the issues of renormalizability and spectral dimensions. We compare the zeta spectral action with the usual (cutoff bas
Externí odkaz:
http://arxiv.org/abs/1412.4669
Publikováno v:
Phys. Rev. D 90, 045033 (2014)
In this paper, we have developed a systematic technique to regularize double summations of Landau levels and analytically evaluated the photon vacuum polarization at an external magnetic field. The final results are described by Lerch transcendent $\
Externí odkaz:
http://arxiv.org/abs/1403.0442