Renormalization And Causality Violations In Classical Gravity Coupled With Quantum Matter

نویسنده

  • Damiano Anselmi
چکیده

I prove that classical gravity coupled with quantized matter can be renormalized with a finite number of independent couplings, plus field redefinitions, without introducing higher-derivative kinetic terms in the gravitational sector, but adding vertices that couple the matter stress-tensor with the Ricci tensor. The theory is called “acausal gravity”, because it predicts the violation of causality at high energies. Renormalizability is proved by means of a map M that relates acausal gravity with higher-derivative gravity. The causality violations are governed by two parameters, a and b, that are mapped by M into higher-derivative couplings. At the tree level causal prescriptions exist, but they are spoiled by the oneloop corrections. Some ideas are inspired by the usual treatments of the Abraham-Lorentz force in classical electrodynamics.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Renormalizable Acausal Theories Of Classical Gravity Coupled With Interacting Quantum Fields

We prove the renormalizability of various theories of classical gravity coupled with interacting quantum fields. The models contain vertices with dimensionalities greater than four, a finite number of matter operators and a finite or reduced number of independent couplings. An interesting class of models is obtained from ordinary power-counting renormalizable theories, letting the couplings dep...

متن کامل

Spacetime in Semiclassical Gravity

This article will summarize selected aspects of the semiclassical theory of gravity, which involves a classical gravitational field coupled to quantum matter fields. Among the issues which will be discussed are the role of quantum effects in black hole physics and in cosmology, the effects of quantum violations of the classical energy conditions, and inequalities which constrain the extent of s...

متن کامل

Renormalization of Quantum Gravity Coupled with Matter in Three Dimensions

In three spacetime dimensions, where no graviton propagates, pure gravity is known to be finite. It is natural to ask if finiteness survives the coupling with matter. Standard arguments do not ensure finiteness, but only that there exists a subtraction scheme where no Lorentz-Chern-Simons term is generated by radiative corrections. I consider gravity coupled with Chern-Simons U(1) gauge theory ...

متن کامل

2 d quantum gravity coupled to renormalizable matter fields

We consider two-dimensional quantum gravity coupled to matter fields which are renormalizable, but not conformal invariant. Questions concerning the β function and the effective action are addressed, and the effective action and the dressed renormalization group equations are determined for various matter potentials.

متن کامل

Shaken, but not stirred – Potts model coupled to quantum gravity

We investigate the critical behaviour of both matter and geometry of the threestate Potts model coupled to two-dimensional Lorentzian quantum gravity in the framework of causal dynamical triangulations. Contrary to what general arguments on the effects of disorder suggest, we find strong numerical evidence that the critical exponents of the matter are not changed under the influence of quantum ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006