Barbero–Immirzi field in canonical formalism of pure gravity

نویسندگان

  • Gianluca Calcagni
  • Simone Mercuri
چکیده

The Barbero–Immirzi (BI) parameter is promoted to a field and a canonical analysis is performed when it is coupled with a Nieh–Yan topological invariant. It is shown that, in the effective theory, the BI field is a canonical pseudoscalar minimally coupled with gravity. This framework is argued to be more natural than the one of the usual Holst action. Potential consequences in relation with inflation and the quantum theory are briefly discussed.

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

Seeking the Loop Quantum Gravity

We embed the Loop Quantum Gravity Barbero-Immirzi parameter and field within an action describing 4D, N = 1 supergravity and thus within a Low Energy Effective Action of Superstring/M-Theory. We use the fully gauge-covariant description of supergrav-ity in (curved) superspace. The gravitational constant is replaced with the vacuum expectation value of a scalar field, which in local supersymmetr...

متن کامل

SO(4,C)-covariant Ashtekar–Barbero gravity and the Immirzi parameter

An so(4,C)-covariant hamiltonian formulation of a family of generalized Hilbert– Palatini actions depending on a parameter (the so called Immirzi parameter) is developed. It encompasses the Ashtekar–Barbero gravity which serves as a basis of quantum loop gravity. Dirac quantization of this system is constructed. Next we study dependence of the quantum system on the Immirzi parameter. The path i...

متن کامل

Gauge formulation of general relativity using conformal and spin symmetries.

The gauge symmetry inherent in Maxwell's electromagnetics has a profound impact on modern physics. Following the successful quantization of electromagnetics and other higher order gauge field theories, the gauge principle has been applied in various forms to quantize gravity. A notable development in this direction is loop quantum gravity based on the spin-gauge treatment. This paper considers ...

متن کامل

ar X iv : 0 70 6 . 18 99 v 1 [ gr - q c ] 1 3 Ju n 20 07 Spacetime Lagrangian Formulation of Barbero - Immirzi Gravity

We shall here discuss a new spacetime gauge-covariant Lagrangian formulation of General Relativity by means of the Barbero-Immirzi SU(2)-connection on spacetime. To the best of our knowledge the Lagrangian based on SU(2) spacetime fields seems to appear here for the first time.

متن کامل

A possible interpretation of the Barbero–Immirzi parameter and its consequences

Motivations: The Barbero–Immirzi (BI) parameter is a free constant that appears in the spectra of area and volume operators of LQG. Many authors have contributed to shed light on the origin of this ambiguity. a Here we present an extension of the idea originally proposed by Gambini, Obregon and Pullin. Idea: The BI parameter is a quantization ambiguity analogous to the θ-angle of Yang–Mills gau...

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 2009