NEW ACTIONS FOR SELF-DUAL FIELDS IN 2D AND 3D

2008 ◽  
Vol 23 (30) ◽  
pp. 4829-4840 ◽  
Author(s):  
E. M. C. ABREU ◽  
A. CALIL ◽  
L. S. GRIGORIO ◽  
M. S. GUIMARAES ◽  
C. WOTZASEK
Keyword(s):  
Condensed Phase ◽  
Continuous Mapping ◽  
Order Theory ◽  
Second Order ◽  
The Self ◽  
Dual Model ◽  
2D And 3D ◽  
Chern Simons

New actions in D = 2 and D = 3 are proposed that are dual equivalent to known theories displaying well-defined chirality and helicity, respectively, along with new interpolating actions mapping continuously through the original dualities. The new chiral action in D = 2 is a second-order theory displaying the chiral constraint dynamically. In D = 3 the helicity constraint is imposed a la Siegel displaying a continuous mapping between the Maxwell–Chern–Simons and the self-dual model. It is also shown that the resulting theories introduce new versions of the Hull noton to take care of the symmetry aspects of the original models. The new interpolating formulation is then reexamined as a condensed phase for the discussion of duality under the light of the dual mechanisms — Julia–Toulouse and Higgs — establishing new interpolating actions in the dilute phase, according to these mechanisms.

scholarly journals Hamiltonian embedding of the self-dual model and equivalence with Maxwell-Chern-Simons theory

1997 ◽  
Vol 55 (10) ◽  
pp. 6339-6343 ◽  
Author(s):  
R. Banerjee ◽  
H. J. Rothe ◽  
K. D. Rothe
Keyword(s):  
The Self ◽  
Simons Theory ◽  
Dual Model ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals CANONICAL QUANTIZATION OF THE SELF-DUAL MODEL COUPLED TO FERMIONS

1999 ◽  
Vol 14 (16) ◽  
pp. 2495-2510 ◽  
Author(s):  
H. O. GIROTTI
Keyword(s):  
Canonical Quantization ◽  
High Energy ◽  
The Self ◽  
Simons Theory ◽  
Dual Model ◽  
Dirac Bracket ◽  
Interaction Picture ◽  
Quantization Procedure ◽  
Energy Behavior ◽  
Chern Simons

This paper is devoted to formulating the interaction-picture dynamics of the self-dual field minimally coupled to fermions. As a preliminary, we quantize the free self-dual model by means of the Dirac-bracket quantization procedure. The free self-dual model turns out to be a relativistically invariant quantum field theory whose excitations are identical to the physical (gauge-invariant) excitations of the free Maxwell–Chern–Simons theory. The interacting model is also quantized through the Dirac-bracket quantization procedure. One of the self-dual field components is found not to commute, at equal times, with the fermionic fields. Hence, the formulation of the interaction-picture dynamics demands the elimination of that component. This procedure brings, in turn, two new interactions terms, which are local in space and time while nonrenormalizable by power counting. Relativistic invariance is tested in connection with the elastic fermion–fermion scattering amplitude. We prove that all the noncovariant pieces in the interaction Hamiltonian are equivalent to the covariant minimal interaction of the self-dual field with the fermions. The high-energy behavior of the self-dual field propagator confirms that the coupled theory is nonrenormalizable. The self-dual field minimally coupled to fermions bears no resemblance to the renormalizable model defined by the Maxwell–Chern–Simons field minimally coupled to fermions.

REMARKS ON FERMION–BOSON EQUIVALENCE IN THREE DIMENSIONS

1999 ◽  
Vol 14 (04) ◽  
pp. 307-315 ◽  
Author(s):  
A. DE SOUZA DUTRA ◽  
C. P. NATIVIDADE
Keyword(s):  
Quantum Theory ◽  
Thirring Model ◽  
The Self ◽  
Three Dimensions ◽  
Simons Theory ◽  
Dual Model ◽  
Third Order ◽  
Chern Simons ◽  
Chern Simons Theory

Starting from a decomposition of the self-dual field in (2+1) dimensions, we build up an alternative quantum theory which consists of a self-dual model coupled to a Maxwell-generalized Chern–Simons theory. We discuss the fermion–boson equivalence of this quantum theory by comparing it with the Thirring model. Using these results we were able to compute the mass of the bosonized fermions up to third order in 1/m. Some problems related to the number of poles of the effective propagator are also addressed.

scholarly journals MASTER ACTIONS FOR LINEARIZED MASSIVE GRAVITY MODELS IN 3D

2012 ◽  
Vol 27 (03n04) ◽  
pp. 1250015 ◽  
Author(s):  
PIO J. ARIAS ◽  
ADEL KHOUDEIR ◽  
J. STEPHANY
Keyword(s):  
Fourth Order ◽  
General Model ◽  
Massive Gravity ◽  
Second Order ◽  
The Self ◽  
Gravity Models ◽  
Order Model ◽  
Duality Transformation ◽  
First Order ◽  
Chern Simons

We present a unified analysis of the self-dual, second order, topologically massive and the recently introduced fourth-order models of massive gravity in 3D. We show that there is a family of first-order actions which interpolate between these different single excitation models. We show how the master actions are related by duality transformation. We construct by the same method the master action which relates the fourth-order new massive model with two excitations and the usual second-order model with Fierz–Pauli mass. We show that the more general model obtained by adding a Chern–Simons term to the new massive model is equivalent off-shell to the second-order spontaneously broken linearized massive gravity.

QUANTUM EQUIVALENCE OF SOME INTERACTING (2 + 1)-DIMENSIONAL FIELD THEORY

2001 ◽  
Vol 16 (25) ◽  
pp. 4153-4170
Author(s):  
MARTIN FLECK
Keyword(s):  
The Self ◽  
Field Theories ◽  
Tree Level ◽  
Dirac Fermion ◽  
Fermion Field ◽  
Dual Model ◽  
Charged Scalar ◽  
Class System ◽  
Formal Level ◽  
Chern Simons

The embedding procedure of Batalin, Fradkin and Tyutin, which allows us to convert a second-class system into a first-class one, is employed to convert second-class interacting models. Two cases are considered. The first one, is the self-dual model minimally coupled to a Dirac fermion field. The other, the self-dual model minimally coupled to a charged scalar field. In both cases, they are found equivalent interacting Maxwell–Chern–Simons type field theories. These equivalences are pushed beyond the formal level, by analyzing some tree level probability amplitudes associated to them.

scholarly journals Surface wavepackets subject to an abrupt depth change. Part 1. Second-order theory

2021 ◽  
Vol 915 ◽  
Author(s):  
Yan Li ◽  
Yaokun Zheng ◽  
Zhiliang Lin ◽  
Thomas A.A. Adcock ◽  
Ton S. van den Bremer
Keyword(s):  
Order Theory ◽  
Second Order

Abstract

Invariant relative orbits for satellite constellations: A second order theory

2006 ◽  
Vol 181 (1) ◽  
pp. 6-20 ◽  
Author(s):  
F.A. Abd El-Salam ◽  
I.A. El-Tohamy ◽  
M.K. Ahmed ◽  
W.A. Rahoma ◽  
M.A. Rassem
Keyword(s):  
Order Theory ◽  
Second Order ◽  
Satellite Constellations
Sign in / Sign up

Export Citation Format

Share Document