scholarly journals Relating Gauge and Gravity Theories in the Large Mass Limit

2020 ◽  
Vol 125 (18) ◽  
Author(s):  
Kays Haddad ◽  
Andreas Helset
Keyword(s):  
Large Mass ◽  
Mass Limit ◽  
Gravity Theories

scholarly journals FUNCTIONAL BOSONIZATION OF NONRELATIVISTIC FERMIONS IN 2+1 DIMENSIONS

2000 ◽  
Vol 15 (29) ◽  
pp. 4655-4679 ◽  
Author(s):  
DANIEL G. BARCI ◽  
C. A. LINHARES ◽  
A. F. DE QUEIROZ ◽  
J. F. MEDEIROS NETO
Keyword(s):  
Transverse Electric ◽  
Gaussian Approximation ◽  
Large Mass ◽  
Dispersion Relations ◽  
Collective Excitations ◽  
Nonlinear Dispersion ◽  
Mass Limit ◽  
Linear Dispersion ◽  
Density Maps ◽  
Fermionic Systems

We analyze the universality of the bosonization rules in nonrelativistic fermionic systems in (2+1)d. We show that, in the case of linear fermionic dispersion relations, a general fermionic theory can be mapped into a gauge theory in such a way that the fermionic density maps into a magnetic flux and the fermionic current maps into a transverse electric field. These are universal rules in the sense that they remain valid whatever the interaction considered. We also show that these rules are universal in the case of nonlinear dispersion relations provided we consider only density–density interactions. We apply the functional bosonization formalism to a nonrelativistic and nonlocal massive Thirring-like model and evaluate the spectrum of collective excitations in several limits. In the large mass limit, we are able to exactly calculate this spectrum for arbitrary density–density and current–current interactions. We also analyze the massless case and show that it has no collective excitations for any density–density potential in the Gaussian approximation. Moreover, the presence of current interactions may induce a gapless mode with a linear dispersion relation.

scholarly journals Casimir energy calculation for massive scalar field on spherical surfaces: an alternative approach

2018 ◽  
Vol 96 (9) ◽  
pp. 1004-1009 ◽  
Author(s):  
M.A. Valuyan
Keyword(s):  
Scalar Field ◽  
Spherical Surface ◽  
Original System ◽  
Large Mass ◽  
Casimir Energy ◽  
Energy Calculation ◽  
Massive Scalar ◽  
Mass Limit ◽  
Massive Scalar Field ◽  
Spherical Surfaces

In this study, the Casimir energy for massive scalar field with periodic boundary condition was calculated on spherical surfaces with S1, S2, and S3 topologies. To obtain the Casimir energy on a spherical surface, the contribution of the vacuum energy of Minkowski space is usually subtracted from that of the original system. In the large mass limit for surface S2, however, some divergences would eventually remain in the obtained result. To remove these remaining divergences, a secondary renormalization program was manually performed. In the present work, a direct approach for calculation of the Casimir energy has been introduced. In this approach, two similar configurations were considered and then the vacuum energies of these configurations were subtracted from each other. This method provides more physical meaning than the other common methods. Additionally, in the large mass limit for surface S2, it provides a situation in which the second renormalization program is automatically conducted in the calculation procedure, and there was no longer a need to do so manually. Finally, by plotting the obtained values for the Casimir energy of the topologies and investigating their appropriate limits, the logic agreement between the results of our scheme and those of previous studies was discussed.

scholarly journals The Hierarchy Principle and the Large Mass Limit of the Linear Sigma Model

2007 ◽  
Vol 46 (10) ◽  
pp. 2560-2590 ◽  
Author(s):  
D. Bettinelli ◽  
R. Ferrari ◽  
A. Quadri
Keyword(s):  
Sigma Model ◽  
Large Mass ◽  
Linear Sigma Model ◽  
Mass Limit

scholarly journals Chern-Simons theory as the large-mass limit of topologically massive Yang-Mills theory

1992 ◽  
Vol 381 (1-2) ◽  
pp. 222-280 ◽  
Author(s):  
G. Giavarini ◽  
C.P. Martin ◽  
F. Ruiz Ruiz
Keyword(s):  
Large Mass ◽  
Simons Theory ◽  
Mass Limit ◽  
Yang Mills ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Large mass limit of the continuum theories in Kaplan’s formulation

1994 ◽  
Vol 50 (8) ◽  
pp. 5365-5378 ◽  
Author(s):  
Teruhiko Kawano ◽  
Yoshio Kikukawa
Keyword(s):  
Large Mass ◽  
Mass Limit ◽  
Continuum Theories ◽  
The Continuum

The large mass limit of the soliton bound-state model of the hyperons

1992 ◽  
Vol 539 (4) ◽  
pp. 662-684 ◽  
Author(s):  
M. Björnberg ◽  
K. Dannbom ◽  
D.O. Riska ◽  
N.N. Scoccola
Keyword(s):  
Large Mass ◽  
Bound State ◽  
State Model ◽  
Mass Limit

scholarly journals A new length scale, and modified Einstein–Cartan–Dirac equations for a point mass

2018 ◽  
Vol 27 (08) ◽  
pp. 1850077 ◽  
Author(s):  
Tejinder P. Singh
Keyword(s):  
Wave Function ◽  
Gravitational Constant ◽  
Large Mass ◽  
Small Mass ◽  
Einstein Equations ◽  
Length Scale ◽  
Mass Limit ◽  
Wave Function Collapse ◽  
Dirac Equations ◽  
Small Mass Limit

We have recently proposed a new action principle for combining Einstein equations and the Dirac equation for a point mass. We used a length scale [Formula: see text], dubbed the Compton–Schwarzschild length, to which the Compton wavelength and Schwarzschild radius are small mass and large mass approximations, respectively. Here, we write down the field equations which follow from this action. We argue that the large mass limit yields Einstein equations, provided we assume the wave function collapse and localization for large masses. The small mass limit yields the Dirac equation. We explain why the Kerr–Newman black hole has the same gyromagnetic ratio as the Dirac electron, both being twice the classical value. The small mass limit also provides compelling reasons for introducing torsion, which is sourced by the spin density of the Dirac field. There is thus a symmetry between torsion and gravity: torsion couples to quantum objects through Planck’s constant [Formula: see text] (but not [Formula: see text]) and is important in the microscopic limit. Whereas gravity couples to classical matter, as usual, through Newton’s gravitational constant [Formula: see text] (but not [Formula: see text]), and is important in the macroscopic limit. We construct the Einstein–Cartan–Dirac equations which include the length [Formula: see text]. We find a potentially significant change in the coupling constant of the torsion driven cubic nonlinear self-interaction term in the Dirac–Hehl–Datta equation. We speculate on the possibility that gravity is not a fundamental interaction, but emerges as a consequence of wave function collapse, and that the gravitational constant maybe expressible in terms of Planck’s constant and the parameters of dynamical collapse models.

scholarly journals QUANTUM AND CLASSICAL GAUGE SYMMETRIES IN A MODIFIED QUANTIZATION SCHEME

2001 ◽  
Vol 16 (10) ◽  
pp. 1775-1788 ◽  
Author(s):  
KAZUO FUJIKAWA ◽  
HIROAKI TERASHIMA
Keyword(s):  
Gauge Symmetry ◽  
Brst Symmetry ◽  
Mass Term ◽  
Large Mass ◽  
Quantization Scheme ◽  
Mass Limit ◽  
Classical Action ◽  
Gauge Invariant ◽  
Gauge Fixing ◽  
Nonlinear Gauge

The use of the mass term as a gauge fixing term has been studied by Zwanziger, Parrinello and Jona-Lasinio, which is related to the nonlinear gauge [Formula: see text] of Dirac and Nambu in the large mass limit. We have recently shown that this modified quantization scheme is in fact identical to the conventional local Faddeev–Popov formula without taking the large mass limit, if one takes into account the variation of the gauge field along the entire gauge orbit and if the Gribov complications can be ignored. This suggests that the classical massive vector theory, for example, is interpreted in a more flexible manner either as a gauge invariant theory with a gauge fixing term added, or as a conventional massive nongauge theory. As for massive gauge particles, the Higgs mechanics, where the mass term is gauge-invariant, has a more intrinsic meaning. It is suggested that we extend the notion of quantum gauge symmetry (BRST symmetry) not only to classical gauge theory but also to a wider class of theories whose gauge symmetry is broken by some extra terms in the classical action. We comment on the implications of this extended notion of quantum gauge symmetry.

Sign in / Sign up

Export Citation Format

Share Document