Testable Consequences of Curved-Spacetime Renormalization

نویسنده

  • Leonard Parker
چکیده

I consider certain renormalization effects in curved spacetime quantum field theory. In the very early universe these effects resemble those of a cosmological constant, while in the present universe they give rise to a significant finite renormalization of the gravitational constant. The relevant renormalization term and its relation to elementary particle masses was first found by Parker and Toms in 1985, as a consequence of the “new partially summed form” of the propagator in curved spacetime. The significance of the term is based on the contribution of massive particles to the vacuum. In the present universe, this renormalization term appears to account for a large part or even all of the Newtonian gravitational constant. This conjecture is testable because it relates the value of Newton’s constant to the elementary particle masses.

برای دانلود 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

Observed Cosmological Constant is Predicted by Curved-Spacetime Renormalization

I show that a cosmological constant of roughly the observed magnitude in the present universe is a consequence of general relativity and quantum field theory in curved spacetime, and was first predicted by Parker and Toms in 1985. This prediction follows from the “new partially summed form” of the propagator in curved spacetime. The effect is based on the contribution of massive particles to th...

متن کامل

Renormalization-group improved effective potential for finite grand unified theories in curved spacetime

The renormalization-group improved effective potential —to leading-log and in the linear curvature approximation— is constructed for “finite” theories in curved spacetime. It is not trivial and displays a quite interesting, exponential-like structure —in contrast with the case of flat spacetime where it coincides with the classical potential. Several possible cosmological applications, as curva...

متن کامل

Renormalization-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 کامل

Renormalization-group improved effective potential for gauge theories in curved spacetime

The renormalization-group improved effective potential for an arbitrary renormalizable massless gauge theory in curved spacetime is found, thus generalizing Coleman-Weinberg’s approach corresponding to flat space. Some explicit examples are considered, among them: λφ theory, scalar electrodynamics, the asymptotically-free SU(2) gauge model, and the SU(5) GUT theory. The possibility of curvature...

متن کامل

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 کامل

ذخیره در منابع من


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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1998