Effective Lagrangian for self-interacting scalar field theories in curved spacetime.
نویسندگان
چکیده
We consider a self-interacting scalar field theory in a slowly varying gravitational background field. Using zeta-function regularization and heat-kernel techniques, we derive the one-loop effective Lagrangian up to second order in the variation of the background field and up to quadratic terms in the curvature tensors. Specializing to different spacetimes of physical interest, the influence of the curvature on the phase transition is considered. PACS number(s): 03.70+k, 11.10.Gh
منابع مشابه
Renormalization-group improved effective Lagrangian for interacting theories in curved spacetime
A method for finding the renormalization group (RG) improved effective Lagrangian for a massive interacting field theory in curved spacetime is presented. As a particular example, the λφ-theory is considered and the RG improved effective Lagrangian is explicitly found up to second order in the curvature tensors. As a further application, the curvature-induced phase transitions are discussed for...
متن کاملRenormalization-group improved effective potential for interacting theories with several mass scales in curved spacetime
The renormalization group (RG) is used in order to obtain the RG improved effective potential in curved spacetime. This potential is explicitly calculated for the Yukawa model and for scalar electrodynamics, i.e. theories with several (namely, more than one) mass scales, in a space of constant curvature. Using the λφ-theory on a general curved spacetime as an example, we show how it is possible...
متن کاملEffective Lagrangian and the back-reaction problem in a self-interacting O(N) scalar theory in curved spacetime.
A derivation of the one-loop effective Lagrangian in the self-interacting O(N) scalar theory, in slowly varying gravitational fields, is presented (using ζ-regularization and heat-kernel techniques). The result is given in terms E-mail: [email protected], [email protected] E-mail: [email protected]. Alexander von Humboldt Foundation Fellow. E-mail: [email protected]. On leave from...
متن کاملDivergences in the Effective Action for Acausal Spacetimes
The 1–loop effective Lagrangian for a massive scalar field on an arbitrary causality violating spacetime is calculated using the methods of Euclidean quantum field theory in curved spacetime. Fields of spin 12 , spin 1 and twisted field configurations are also considered. In general, we find that the Lagrangian diverges to minus infinity at each of the nth polarised hypersurfaces of the spaceti...
متن کاملHypothesis of path integral duality . II . Corrections to quantum field theoretic results
In the path integral expression for a Feynman propagator of a spinless particle of mass m , the path integral amplitude for a path of proper length R(x ,x8ugmn) connecting events x and x8 in a spacetime described by the metric tensor gmn is exp $2@mR(x ,x8ugmn)#%. In a recent paper, assuming the path integral amplitude to be invariant under the duality transformation R→(LP 2 /R), Padmanabhan ha...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. D, Particles and fields
دوره 48 6 شماره
صفحات -
تاریخ انتشار 1993