AFFINE QUANTUM GRAVITY
نویسندگان
چکیده
منابع مشابه
Affine Quantum Gravity
A sketch of the affine quantum gravity program illustrates a different perspective on several difficult issues of principle: metric positivity; quantum anomalies; and nonrenormalizability. Quantum gravity is under study from several viewpoints. Brane world scenarios and loop quantum gravity represent the two most popular approaches [1], yet alternative viewpoints may also deserve consideration....
متن کاملThe Affine Quantum Gravity Program
The central principle of affine quantum gravity is securing and maintaining the strict positivity of the matrix {ĝab(x)} composed of the spatial components of the local metric operator. On spectral grounds, canonical commutation relations are incompatible with this principle, and they must be replaced by noncanonical, affine commutation relations. Due to the partial second-class nature of the q...
متن کاملNoncanonical Quantization of Gravity. I. Foundations of Affine Quantum Gravity
The nature of the classical canonical phase-space variables for gravity suggests that the associated quantum field operators should obey affine commutation relations rather than canonical commutation relations. Prior to the introduction of constraints, a primary kinematical representation is derived in the form of a reproducing kernel and its associated reproducing kernel Hilbert space. Constra...
متن کاملN ov 2 00 4 Attractions of Affine Quantum Gravity ∗
All attempts to quantize gravity face several difficult problems. Among these problems are: (i) metric positivity (positivity of the spatial distance between distinct points), (ii) the presence of anomalies (partial second-class nature of the quantum constraints), and (iii) perturbative nonrenormalizability (the need for infinitely many distinct counterterms). In this report, a relatively nonte...
متن کاملThe Affine-metric Quantum Gravity with Extra Local Symmetries
We discuss the role of additional local symmetries related to the transformations of connection fields in the affine-metric theory of gravity. The corresponding BRST transformations connected with all symmetries (general coordinate, local Lorentz and extra) are constructed. It is shown, that extra symmetries give the additional contribution to effective action which is proportional to the corre...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics D
سال: 2003
ISSN: 0218-2718,1793-6594
DOI: 10.1142/s0218271803003967