scholarly journals Chiral perturbation theory for GR

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Kirill Krasnov ◽  
Yuri Shtanov
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation ◽  
Perturbative Calculation ◽  
New Formalism ◽  
Yang Mills ◽  
First Order ◽  
Starting Point ◽  
Gauge Fixing ◽  
New Perturbation ◽  
Effective Description

Abstract We describe a new perturbation theory for General Relativity, with the chiral first-order Einstein-Cartan action as the starting point. Our main result is a new gauge-fixing procedure that eliminates the connection-to-connection propagator. All other known first-order formalisms have this propagator non-zero, which significantly increases the combinatorial complexity of any perturbative calculation. In contrast, in the absence of the connection-to-connection propagator, our formalism leads to an effective description in which only the metric (or tetrad) propagates, there are only cubic and quartic vertices, but some vertex legs are special in that they cannot be connected by the propagator. The new formalism is the gravity analog of the well-known and powerful chiral description of Yang-Mills theory.

scholarly journals Renormalization Transformations of the 4-D BFYM Theory

1997 ◽  
Vol 12 (31) ◽  
pp. 2353-2366 ◽  
Author(s):  
Alberto Accardi ◽  
Andrea Belli
Keyword(s):  
Perturbative Calculation ◽  
Preliminary Step ◽  
Yang Mills ◽  
First Order ◽  
Bf Theory ◽  
Starting Point ◽  
Brst Cohomology

We study the most general renormalization transformations for the first-order formulation of the Yang–Mills theory. We analyze, in particular, the trivial sector of the BRST cohomology of two possible formulations of the model: the standard one and the extended one. The latter is a promising starting point for the interpretation of the Yang–Mills theory as a deformation of the topological BF theory. This work is a necessary preliminary step towards any perturbative calculation, and completes some recently obtained results.

scholarly journals Einstein–Yang–Mills theory: gauge invariant charges and linearization instability

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Emel Altas ◽  
Ercan Kilicarslan ◽  
Bayram Tekin
Keyword(s):  
General Relativity ◽  
Perturbation Theory ◽  
Order Perturbation ◽  
Order Perturbation Theory ◽  
Gauge Fields ◽  
Gauge Invariant ◽  
Yang Mills ◽  
First Order ◽  
Flat Spacetime ◽  
First Order Perturbation

AbstractWe construct the gauge-invariant electric and magnetic charges in Yang–Mills theory coupled to cosmological general relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser (Phys Lett B 116:259–263, 1982). For non-vanishing background gauge fields, the charges receive non-trivial contribution from the gravity part. In addition, we study the constraints on the first order perturbation theory and establish the conditions for linearization instability: that is the validity of the first order perturbation theory.

scholarly journals PLASMON INTERACTIONS IN THE QUARK–GLUON PLASMA

2001 ◽  
Vol 16 (07) ◽  
pp. 1249-1259 ◽  
Author(s):  
D. METAXAS ◽  
V. P. NAIR
Keyword(s):  
Perturbation Theory ◽  
Quark Gluon Plasma ◽  
Finite Temperature ◽  
Gluon Plasma ◽  
Creation And Annihilation Operators ◽  
Yang Mills ◽  
Starting Point ◽  
Hard Thermal Loops

We construct plasmon creation and annihilation operators for Yang–Mills theory at finite temperature. This provides a starting point for perturbation theory with resummation of hard thermal loops in a Hamiltonian framework.

CHIRAL PROPERTIES OF NON-EXOTIC PROCESSES IN K-MESON PHYSICS

1992 ◽  
Vol 07 (23) ◽  
pp. 2095-2100 ◽  
Author(s):  
A. N. IVANOV ◽  
M. NAGY ◽  
N. I. TROITSKAYA
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Quark Mass ◽  
Chiral Perturbation ◽  
K Meson ◽  
First Order ◽  
Current Quark Mass ◽  
Quark Level ◽  
Mass Expansion ◽  
Current Quark

The first order corrections in current quark mass expansion are evaluated for the πK-scattering and Kl3-decay amplitudes within Chiral perturbation theory at the quark level. The Ademollo-Gato theorem is discussed.

The first-order formalism for Yang–Mills theory

1994 ◽  
Vol 72 (9-10) ◽  
pp. 601-607 ◽  
Author(s):  
D. G. C. McKeon
Keyword(s):  
Background Field ◽  
Loop Order ◽  
Point Function ◽  
Yang Mills ◽  
First Order ◽  
Order Form ◽  
Effective Lagrangian ◽  
Gauge Fixing ◽  
Vector Formula ◽  
Field Quantization

It is possible to replace the second-order Yang–Mills Lagrangian [Formula: see text] with the first-order Lagrangian [Formula: see text]. In this form, the interaction term in the Lagrangian, [Formula: see text] is very simple; the only disadvantage is that now not only the vector [Formula: see text] but also the auxiliary field [Formula: see text] propagate. The gauge-fixing and ghost contributions to the effective Lagrangian can similarly be reduced to first-order form by the introduction of auxiliary fields. We demonstrate the procedure by computing the two-point function to one-loop order using background field quantization.

scholarly journals The axion-baryon coupling in SU(3) heavy baryon chiral perturbation theory

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Thomas Vonk ◽  
Feng-Kun Guo ◽  
Ulf-G. Meißner
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Heavy Baryon ◽  
Power Counting ◽  
Flavor Symmetry ◽  
Chiral Perturbation ◽  
Third Order ◽  
Stellar Objects ◽  
The Past ◽  
Dense Nuclear Matter

Abstract In the past, the axion-nucleon coupling has been calculated in the framework of SU(2) heavy baryon chiral perturbation theory up to third order in the chiral power counting. Here, we extend these earlier studies to the case of heavy baryon chiral perturbation theory with SU(3) flavor symmetry and derive the axion coupling to the full SU(3) baryon octet, showing that the axion also significantly couples to hyperons. As studies on dense nuclear matter suggest the possible existence of hyperons in stellar objects such as neutron stars, our results should have phenomenological implications related to the so-called axion window.

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