scholarly journals Universality of the linear potential in effective models for the low energy QCD coupled with the dilaton field

2003 ◽  
Vol 570 (3-4) ◽  
pp. 260-264 ◽  
Author(s):  
Andrzej Wereszczyński
Keyword(s):  
Low Energy ◽  
Linear Potential ◽  
Dilaton Field ◽  
Effective Models

scholarly journals Renormalization group consistency and low-energy effective theories

2019 ◽  
Vol 6 (5) ◽  
Author(s):  
Jens Braun ◽  
Marc Leonhardt ◽  
Jan M. Pawlowski
Keyword(s):  
Renormalization Group ◽  
Mean Field ◽  
Bound State ◽  
Field Approximation ◽  
Low Energy ◽  
Mean Field Approximation ◽  
Quantum Field Theories ◽  
Model Calculations ◽  
Effective Models ◽  
Effective Theories

Low-energy effective theories have been used very successfully to study the low-energy limit of QCD, providing us with results for a plethora of phenomena, ranging from bound-state formation to phase transitions in QCD. These theories are consistent quantum field theories by themselves and can be embedded in QCD, but typically have a physical ultraviolet cutoff that restricts their range of validity. Here, we provide a discussion of the concept of renormalization group consistency, aiming at an analysis of cutoff effects and regularization-scheme dependences in general studies of low-energy effective theories. For illustration, our findings are applied to low-energy effective models of QCD in different approximations including the mean-field approximation. More specifically, we consider hot and dense as well as finite systems and demonstrate that violations of renormalization group consistency affect significantly the predictive power of the corresponding model calculations.

scholarly journals Trace and Axial Anomalies on Equal Footing

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Renata Jora
Keyword(s):  
Important Application ◽  
Low Energy ◽  
Equal Footing ◽  
Generalized Symmetry ◽  
Single Complex ◽  
Effective Models

We discussed that for some particular nonsupersymmetric theories, a generalized symmetry that includes both the scale and axial transformations and leads to a single current may contain also a pseudoscalar term. The method, inspired by the superconformal anomalies, has important application for low-energy effective models where it allows the introduction of a single complex glueball field with a scalar and a pseudoscalar component on the same footing with the complex meson nonet fields made of quarks. Both axial and trace anomalies are satisfied in accordance to the meson structure and the QCD requirements.

πº → γγ DECAY AND THE CONSTITUENT-QUARK VALUE FOR gA

1994 ◽  
Vol 09 (11) ◽  
pp. 955-958 ◽  
Author(s):  
A. S. DEAKIN ◽  
V. ELIAS ◽  
M. D. SCADRON
Keyword(s):  
Decay Rate ◽  
Constituent Quark ◽  
Low Energy ◽  
Effective Models

Consideration of the π° → γγ decay rate in effective models for low energy QCD suggests that the constituent-quark value of gA is quite close to unity.

scholarly journals On anomalies in effective models with nonlinear symmetry realization

2020 ◽  
Vol 35 (35) ◽  
pp. 2050294
Author(s):  
Andrej Arbuzov ◽  
Boris Latosh
Keyword(s):  
Effective Action ◽  
Conformal Symmetry ◽  
Low Energy ◽  
Energy Dynamics ◽  
Effective Models ◽  
Simple Models

Anomalous features of models with nonlinear symmetry realization are addressed. It is shown that such models can have anomalous amplitudes breaking of its original symmetry realization. An illustrative example of a simple models with a nonlinear conformal symmetry realization is given. It is argued that the effective action obtained via nonlinear symmetry realization should be used to obtain an anomaly-induced action which is to drive the low-energy dynamics.

scholarly journals Frustrated Quantum Rare-Earth Pyrochlores

2019 ◽  
Vol 10 (1) ◽  
pp. 357-386 ◽  
Author(s):  
Jeffrey G. Rau ◽  
Michel J.P. Gingras
Keyword(s):  
Rare Earth ◽  
Exchange Interactions ◽  
Low Energy ◽  
Quantum Phases ◽  
Important Material ◽  
Alternative Material ◽  
Effective Models ◽  
Key Questions

In this review, we provide an introduction to the physics of a series of frustrated quantum rare-earth pyrochlores. We first give a background on the microscopic single- and two-ion physics of these materials, discussing the origins and properties of their exchange interactions and their minimal low-energy effective models before outlining what is known about their classical and quantum phases. We then make use of this understanding to discuss four important material examples, Er2Ti2O7, Yb2Ti2O7, Tb2Ti2O7, and Pr2Zr2O7, covering in some detail what is known experimentally and theoretically for each and then summarizing some key questions that remain open. Finally, we offer an outlook on some alternative material platforms for realizing similar physics and discuss what we see as prospects for future investigations on these quantum rare-earth pyrochlores.

scholarly journals Confining potential under the gauge field condensation in the SU(2) Yang-Mills theory

2021 ◽  
Author(s):  
Hirohumi Sawayanagi
Keyword(s):  
Gauge Theory ◽  
Magnetic Monopole ◽  
Linear Part ◽  
Low Energy ◽  
Linear Potential ◽  
Yang Mills ◽  
Cornell Potential ◽  
Confining Potential ◽  
The One ◽  
Nonlinear Gauge

Abstract QǬ potential is studied in the SU(2) gauge theory. Based on the nonlinear gauge of the Curci-Ferrari type, the possibility of a gluon condensation ⟨Aμ+ Aμ−⟩ in low-energy region has been considered at the one-loop level. Instead of the magnetic monopole condensation, this condensation makes classical gluons massive, and can yield a linear potential. We show this potential consists of the Coulomb plus linear part and an additional part. Comparing with the Cornell potential, we study this confining potential in detail, and find that the potential has two implicit scales rc and ˜R0. The meanings of these scales are clarified. We also show that the Cornell potential that fits well to this confining potential is obtained by taking these scales into account.

scholarly journals COSMIC BIREFRINGENCE WITHIN THE FRAMEWORK OF HETEROTIC STRING THEORY

2001 ◽  
Vol 16 (24) ◽  
pp. 4011-4024 ◽  
Author(s):  
PRASANTA DAS ◽  
PANKAJ JAIN ◽  
SUDIPTA MUKHERJI
Keyword(s):  
Electromagnetic Wave ◽  
String Theory ◽  
Wave Equations ◽  
Radio Galaxies ◽  
Low Energy ◽  
Dilaton Field ◽  
Polarization Data ◽  
Heterotic String Theory ◽  
Axion Field ◽  
Polarization Of Light

Low energy string theory predicts the existence of an axion field which can lead to cosmic birefringence. We solve the electromagnetic wave equations in the presence of such an axion and a dilaton field in order to determine their effect on the polarization of light. We find that the presence of dilaton field leads to a nontrivial modification of the final result. We comment on the possibility of discovering such an effect by observations of radio wave polarizations from distant radio galaxies and quasars. We have also determined the limits on the string theory parameters that are imposed by the current radio polarization data.

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