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The coefficient of the Chern-Simons term in the effective action for massive Dirac fermions in three dimensions is computed by using the point-splitting regularization method. We show that in this framework no ambiguities arise. This is…

High Energy Physics - Theory · Physics 2008-11-26 D. G. Barci , J. F. Medeiros Neto , L. E. Oxman , S. P. Sorella

We will discuss two inequivalent generalizations of the standard (2,0) supergravity action gr-qc/9501018 to include gravitational Chern-Simons term. One is in the first order formalism where we treat \omega_{M}^{ab} as independent and the…

High Energy Physics - Theory · Physics 2008-12-18 Payal Kaura , Bindusar Sahoo

We use renormalization group methods to study composite operators existing at a boundary of an interacting conformal field theory. In particular we relate the data on boundary operators to short-distance (near-boundary) divergences of bulk…

High Energy Physics - Theory · Physics 2020-04-22 Vladimír Procházka , Alexander Söderberg

A relativistic equation is proposed for the bound state of two particles, which is in accord with the boundary condition for the propagation of the negative-energy states and reduces to the (one-body)Dirac equation in the infinite limit of…

High Energy Physics - Phenomenology · Physics 2008-02-03 Hitoshi Ito

The present paper addresses open questions regarding the handling of the spin supplementary condition within the effective field theory approach to the post-Newtonian approximation. In particular it is shown how the covariant spin…

General Relativity and Quantum Cosmology · Physics 2012-05-21 Steven Hergt , Jan Steinhoff , Gerhard Schaefer

Recently a boundary string field theory that had been proposed some time ago, was used to calculate correctly the ratios of D-brane (both BPS and non-BPS) tensions. We discuss how this work is related to the boundary state formalism and…

High Energy Physics - Theory · Physics 2009-11-07 S. P. de Alwis

This work investigates the boundary and defect effects on the modular data in SU$(N)_k$ Chern-Simons theories, focusing on how different boundary conditions and symmetry defects modify the fusion rules and braiding statistics of anyons.…

High Energy Physics - Theory · Physics 2025-05-26 Tzu-Miao Chou

Dirac equation in Newman-Penrose formalism is comprehensively introduced to prove the non-existence of bound states for {\omega} < me in Schwarzschild geometry. The proof by contradiction is drawn in the context of finding polynomial…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Mohamad Shehadeh

A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hitoshi Ito

A new geometric approach to systems with boundary energy flow is developed using infinite-dimensional Dirac structures within the Lagrangian formalism. This framework satisfies a list of consistency criteria with the geometric setting of…

Symplectic Geometry · Mathematics 2025-11-11 François Gay-Balmaz , Álvaro Rodríguez Abella , Hiroaki Yoshimura

A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

High Energy Physics - Phenomenology · Physics 2016-09-06 Hitoshi Ito

Constructing charges in the covariant phase space formalism often leads to formally divergent expressions, even when the fields satisfy physically acceptable fall-off conditions. These expressions can be rendered finite by corner…

High Energy Physics - Theory · Physics 2024-02-13 Robert McNees , Céline Zwikel

In this paper we consider a generalized classical mechanics with fractional derivatives. The generalization is based on the time-clock randomization of momenta and coordinates taken from the conventional phase space. The fractional…

Classical Physics · Physics 2011-11-15 Aleksander Stanislavsky

Starting with the first-order singular Lagrangian describing the dynamical system with 2nd-class constraints, the noncommutative quantum mechanics on a curved space is investigated by the constraint star-product quantization formalism of…

Quantum Physics · Physics 2017-06-29 M. Nakamura

We study the D-brane spectrum of N=2 string orbifold theories using the boundary state formalism. The construction is carried out for orbifolds with isolated singularities, non-isolated singularities and orbifolds with discrete torsion. Our…

High Energy Physics - Theory · Physics 2009-10-31 Duiliu-Emanuel Diaconescu , Jaume Gomis

Two types of errors can occur when discriminating pairs of quantum states. Asymmetric state discrimination involves minimizing the probability of one type of error, subject to a constraint on the other. We give explicit expressions bounding…

Quantum Physics · Physics 2023-11-23 Jason L. Pereira , Leonardo Banchi , Stefano Pirandola

In this paper, the connection between the path integral representation of propagators in the coherent state basis with additional degrees of freedom \cite{rohwer} and the one without any such degrees of freedom \cite{sgfgs} is established.…

High Energy Physics - Theory · Physics 2014-05-22 Sunandan Gangopadhyay , Frederik G Scholtz

We present the results of the computation of the third order corrections to the ground state energy of the diluted polarized gas of nonrelativistic spin $1/2$ fermions interacting through a spin-independent repulsive two-body potential. The…

Quantum Gases · Physics 2023-12-06 Piotr H. Chankowski , Jacek Wojtkiewicz , Rashad Bakhshizada

Symmetries in the Lagrangian formalism of arbitrary order are analysed with the help of the so-called Anderson-Duchamp-Krupka equations. For the case of second order equations and a scalar field we establish a polynomial structure in the…

High Energy Physics - Theory · Physics 2009-10-28 D. R. Grigore

We extend the dipole formalism of Catani and Seymour to QCD processes involving heavy fermions. We give the appropriate subtraction terms together with their integrated counterpart. All calculations are done within dimensional…

High Energy Physics - Phenomenology · Physics 2010-02-03 Lukas Phaf , Stefan Weinzierl