scholarly journals Form factors and decoupling of matter fields in four-dimensional gravity

2019 ◽  
Vol 790 ◽  
pp. 229-236 ◽  
Author(s):  
Sebastián A. Franchino-Viñas ◽  
Tibério de Paula Netto ◽  
Ilya L. Shapiro ◽  
Omar Zanusso
Keyword(s):  
Form Factors ◽  
Dimensional Gravity ◽  
Matter Fields

scholarly journals HIGHER GAUGE THEORY AND GRAVITY IN 2+1 DIMENSIONS

2007 ◽  
Vol 22 (28) ◽  
pp. 5155-5172 ◽  
Author(s):  
R. B. MANN ◽  
E. M. POPESCU
Keyword(s):  
Gauge Theory ◽  
Two Dimensional ◽  
Yang Mills ◽  
Higher Dimensional ◽  
Present Context ◽  
Dimensional Gravity ◽  
Wide Perspective ◽  
Higher Gauge Theory ◽  
Matter Fields ◽  
New Framework

Non-Abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher-dimensional (two-dimensional in the present context) connection forms, and as such, it has been successfully applied to the non-Abelian generalizations of the Yang–Mills theory and 2-form electrodynamics. (2+1)-dimensional gravity, on the other hand, has been a fertile testing ground for many concepts related to classical and quantum gravity, and it is therefore only natural to investigate whether we can find an application of higher gauge theory in this latter context. In the present paper we investigate the possibility of applying the formalism of higher gauge theory to gravity in 2+1 dimensions, and we show that a nontrivial model of (2+1)-dimensional gravity coupled to scalar and tensorial matter fields — the ΣΦEA model — can be formulated as a higher gauge theory (as well as a standard gauge theory). Since the model has a very rich structure — it admits as solutions black-hole BTZ-like geometries, particle-like geometries as well as Robertson–Friedman–Walker cosmological-like expanding geometries — this opens a wide perspective for higher gauge theory to be tested and understood in a relevant gravitational context. Additionally, it offers the possibility of studying gravity in 2+1 dimensions coupled to matter in an entirely new framework.

scholarly journals Large Quantum Gravity Effects: Backreaction on Matter

1997 ◽  
Vol 12 (32) ◽  
pp. 2407-2413 ◽  
Author(s):  
Rodolfo Gambini ◽  
Jorge Pullin
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Rapid Loss ◽  
Gravity Effects ◽  
Dimensional Gravity ◽  
The One ◽  
Loss Of Coherence ◽  
Matter Sector ◽  
Matter Fields ◽  
Large Quantum

We re-examine the large quantum gravity effects discovered by Ashtekar in the context of (2+1)-dimensional gravity coupled to matter. We study an alternative one-parameter family of coherent states of the theory in which the large quantum gravity effects on the metric can be diminished, at the expense of losing coherence in the matter sector. Which set of states is the one that occurs in nature will determine if the large quantum gravity effects are actually observable as wild fluctuations of the metric or rapid loss of coherence of matter fields.

Some QCD/gravity intersections

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645032
Author(s):  
O. V. Teryaev
Keyword(s):  
Equivalence Principle ◽  
Energy Momentum Tensor ◽  
Form Factors ◽  
Momentum Tensor ◽  
Matrix Elements ◽  
Lattice Data ◽  
Hadron Structure ◽  
The Matrix ◽  
Dimensional Gravity ◽  
Quark Transverse Momentum

Gravitational form factors are the matrix elements of the Belinfante energy momentum tensor (EMT) which naturally incorporate the hadron structure and the equivalence principle. The relocalization property allowing to transform EMT to the Belinfante form provides the “kinematical” counterpart of the famous [Formula: see text] problem. The equivalence principle may be approximately valid for quarks and gluons separately in non-perturbative (NP)QCD, and this conjecture is supported by the experimental and lattice data. The extra-dimensional gravity leading to holographic AdS/QCD is supporting the relation of quark transverse momentum to the Regge slope, discovered by V.N. Gribov.

scholarly journals A NON-DEGENERATE SEMICLASSICAL LAGRANGIAN FOR DILATON-GRAVITY IN TWO DIMENSIONS

1992 ◽  
Vol 07 (33) ◽  
pp. 3071-3079 ◽  
Author(s):  
NOUREDDINE MOHAMMEDI
Keyword(s):  
Black Holes ◽  
Exact Solutions ◽  
Equations Of Motion ◽  
Two Dimensions ◽  
Singular Solutions ◽  
Two Dimensional ◽  
Semiclassical Theory ◽  
Dilaton Gravity ◽  
Dimensional Gravity ◽  
Matter Fields

An action for two-dimensional gravity conformally coupled to two dilaton-type fields is analyzed. Classically, the theory has some exact solutions. These include configurations representing black holes. A semiclassical theory is obtained by assuming that these singular solutions are caused by the collapse of some matter fields. The semiclassical equations of motion reveal then that any generic solution must have a flat geometry.

scholarly journals NONCOMMUTATIVE DIPOLE QED

2003 ◽  
Vol 18 (01) ◽  
pp. 97-126 ◽  
Author(s):  
NÉDA SADOOGHI ◽  
MASOUD SOROUSH
Keyword(s):  
Semiclassical Approximation ◽  
Form Factors ◽  
Adjoint Representation ◽  
Four Dimensions ◽  
Path Integral Method ◽  
Β Function ◽  
The One ◽  
Definition Of ◽  
Matter Fields ◽  
Dipole Length

The noncommutative dipole QED is studied in detail for the matter fields in the adjoint representation. The axial anomaly of this theory is calculated in two and four dimensions using various regularization methods. The Ward–Takahashi identity is proved by making use of a nonperturbative path integral method. The one-loop β-function of the theory is calculated explicitly. It turns out that the value of the β-function depends on the direction of the dipole length L, which defines the noncommutativity. Finally using a semiclassical approximation a nonperturbative definition of the form factors is presented and the anomalous magnetic moment of this theory at one-loop order is computed.

scholarly journals Integrable 1+1 Dimensional Gravity Models

1997 ◽  
Vol 12 (01) ◽  
pp. 13-22 ◽  
Author(s):  
A. T. Filippov
Keyword(s):  
Hamiltonian Formulation ◽  
Integrable Models ◽  
Gravity Models ◽  
Time Dimension ◽  
Lagrange Equations ◽  
Scalar Matter ◽  
Dimensional Gravity ◽  
Local Properties ◽  
Dilation Gravity ◽  
Matter Fields

Integrable models of dilaton gravity coupled to electromagnetic and scalar matter fields in dimensions 1+1 and 0+1 are reviewed. The 1+1 dimensional integrable models are either solved in terms of explicit quadratures or reduced to the classically integrable Liouville equation. The 0+1 dimensional integrable models emerge as sectors in generally non integrable 1+1 dimensional models and can be solved in terms of explicit quadratures. The Hamiltonian formulation and the problem of quantizing are briefly discussed. Applications to gravity in any space-time dimension are outlined and a generalization of the so called 'no-hair' theorem is proven using local properties of the Lagrange equations for a rather general 1+1 dimensional dilation gravity coupled to matter.

THE STRUCTURE OF 6Li AND ITS COULOMB FORM FACTORS

1971 ◽  
Vol 32 (C5) ◽  
pp. C5b-269-C5b-270
Author(s):  
Kuniharu Kubodera
Keyword(s):  
Form Factors
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