Effective Field Theory and Gravitational Physics Conference
In this talk I will describe how to calculate the exact partition function for free bosons on the plane with lacunae using world line effective field theory. It will be shown that the partition function for a plane with two spherical holes can be calculated by matching exactly for the infinite set of Wilson coefficients and then performing the ensuing Gaussian integration. This same partition function can also be calculated using conformal field theory technique and the equality of the two results will be shown.
Using an approach originally developed to study gravitational wave absorption in black hole binary systems, we generalize the EFT of single clock inflation to include dissipative effects. We restrict ourselves to situations where the degrees of freedom responsible for dissipation do no contribute to the density perturbations at late time, and moreover they are predominately sensitive to the field whose fluctuations control the end of inflation.
I
will review EFT techniques that have been developed recently for
dealing with the infrared dynamics of ordinary fluids and of superfluids.
Gravity does not play an essential role in the construction (though it can be
added straightforwardly to the system), yet certain applications resemble very
closely the EFT approach to gravity wave emission by binary systems. I will
describe in some detail one such application, as well as a possible application
to cosmology.
The Effective Field Theory (EFT) approach can be employed to perform high PN order calculations of the Hamiltonian of a binary system. We show how we reproduced the 3PN dynamics by means of an algorithm implemented in Mathematica and our progress towards the computation of the 4PN Hamiltonian. We also show the EFT computation of the tail term affecting the conservative dynamics at 4PN order, first derived using traditional methods by Blanchet and Damour.
This talk will review the description of gravitational radiation in the effective field theory framework NRGR and report some recent results obtained in the radiation sector. In the matching to the radiation theory one needs to perform a multipole expansion which we present to all order. Furthermore, we will show how non-linear radiative corrections (such as tail effects) are handled in the EFT, how different kinds of divergences arise and how the renormalization group can be used to resum logarithmic terms in the PN expansion of the energy flux.
Based on tetrad-generalized canonical formalism by Arnowitt, Deser, and Misner most recent achievements in analytic calculations of higher order post-Newtonian Hamiltonians for spinning binary black holes and neutron stars are presented. The results of the generalized ADM formalism are put into mathematical relationship with those obtained within the Effective Field Theory approach.
High-accuracy templates predicted by general relativity for the gravitational waves generated by inspiralling compact binaries (binary star systems composed of neutron stars and/or black holes) have been developed using a mixed multipolar and post-Newtonian (MPN) formalism. In this talk we shall review the foundations of this formalism and its main results, including the equations of motion and radiation from compact binaries up to 3.5PN order.
In my talk I will discuss the static subsector of the black hole effective action in an arbitrary dimension. In particular, the derivation of the induced mass multipoles as a result of an external (static) gravitational field will be elucidated. In 4d these constants vanish, however in general they are non-vanishing in higher dimensions. Moreover, in certain cases they exhibit a (classical) renormalization group flow consistent with the divergences of the effective field theory.
What is the classical limit of perturbative quantum field
theory?
What have we learned about it since the advent of the EFT
approach to GR?