منابع مشابه
Zeta Nonlocal Scalar Fields
We consider some nonlocal and nonpolynomial scalar field models originated from p-adic string theory. Infinite number of spacetime derivatives is determined by the operator valued Riemann zeta function through d’Alembertian in its argument. Construction of the corresponding Lagrangians L starts with the exact Lagrangian Lp for effective field of p-adic tachyon string, which is generalized repla...
متن کاملEffective action for scalar fields and generalised zeta-function regularisation
Motivated by the study of quantum fields in a Friedman-Robertson-Walker (FRW) spacetime, the one-loop effective action for a scalar field defined in the ultrastatic manifold R × H/Γ, H/Γ being the finite volume, non-compact, hyperbolic spatial section, is investigated by a generalisation of zeta-function regularisation. It is shown that additional divergences may appear at one-loop level. The o...
متن کاملFinite Temperature Nonlocal Effective Action for Scalar Fields
Scalar fields at finite temperature are considered in four dimensional ultrastatic curved spacetime. One loop nonlocal effective action at finite temperature is found up to the second order in curvature expansion. This action is explicitly infrared finite. In the high temperature expansion of free energy, essentially nonlocal terms linear in temperature are derived. e-mail: [email protected]...
متن کاملMultidimensional Cut-off Technique, Odd-dimensional Epstein Zeta Functions and Casimir Energy of Massless Scalar Fields *
Quantum fluctuations of massless scalar fields represented by quantum fluctuations of the quasiparticle vacuum in a zero-temperature dilute Bose-Einstein condensate may well provide the first experimental arena for measuring the Casimir force of a field other than the electromagnetic field. This would constitute a real Casimir force measurement-due to quantum fluctuations-in contrast to thermal...
متن کاملA nonlocal discretization of fields
A nonlocal method to obtain discrete classical fields is presented. This technique relies on well-behaved matrix representations of the derivatives constructed on a non–equispaced lattice. The drawbacks of lattice theory like the fermion doubling or the breaking of chiral symmetry for the massless case, are absent in this method.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 2008
ISSN: 0040-5779,1573-9333
DOI: 10.1007/s11232-008-0139-z