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Soft-collinear effective theory is generalized to include soft massless quarks in addition to collinear fields. This extension is necessary for the treatment of interactions with the soft spectator quark in a heavy meson. The power counting…

High Energy Physics - Phenomenology · Physics 2010-04-05 Richard J. Hill , Matthias Neubert

The role of torsion and a scalar field $\phi$ in gravitation in the background of a particular class of the Riemann-Cartan geometry is considered here. Some times ago, a Lagrangian density with Lagrange multipliers has been proposed by the…

Astrophysics · Physics 2008-02-18 Prasanta Mahato

We construct, for spin $0,1,2$ tensor fields on S$^d$, a set of ladder operators that connect the distinct UIRs of SO$(d+1)$. This is achieved by relying on the conformal Killing vectors of S$^d$. For the case of spinning fields, the ladder…

High Energy Physics - Theory · Physics 2024-10-30 Vasileios A. Letsios , Matías N. Sempé , Guillermo A. Silva

We point out that extended gravity theories, the Lagrangian of which is an arbitrary function of scalar curvature $R$, are equivalent to a class of the scalar tensor theories of gravity. The corresponding gravity theory is $\omega=0$…

Astrophysics · Physics 2009-07-09 Takeshi Chiba

We revisit the problem of deriving local gauge invariance with spontaneous symmetry breaking in the context of an effective field theory. Previous derivations were based on the condition of tree-order unitarity. However, the modern point of…

High Energy Physics - Theory · Physics 2018-10-17 D. Djukanovic , J. Gegelia , Ulf-G. Meißner

Effective Lagrangians represent an important, model independent tool for studying physics beyond the Standard Model, via its impact on electroweak scale observables. In particular, two different effective descriptions may be appropriate,…

High Energy Physics - Phenomenology · Physics 2015-05-19 Ilaria Brivio

We derive scalar effective field theories - Lagrangians, symmetries, and all - from on-shell scattering amplitudes constructed purely from Lorentz invariance, factorization, a fixed power counting order in derivatives, and a fixed order at…

High Energy Physics - Theory · Physics 2015-06-10 Clifford Cheung , Karol Kampf , Jiri Novotny , Jaroslav Trnka

A system of PDEs for the electromagnetic field and one real component of the spinor field is generally equivalent to spinor electrodynamics. There are reasons to believe that the component can be differentially eliminated from the system. A…

General Physics · Physics 2019-09-25 Andrey Akhmeteli

The idea we advocate in this paper is that the one-loop effective action of a free (massive) field theory coupled to external sources (via conserved currents) contains complete information about the classical dynamics of such sources. We…

High Energy Physics - Theory · Physics 2017-02-01 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , B. Lima De Souza , T. Stemberga

We consider systems of higher spin gauge fields that are described by a free field Lagrangian and one interaction of arbitrary order $N$ that is local and satisfies abelian gauge invariance. Such "solitary" interactions are derived from…

High Energy Physics - Theory · Physics 2012-02-15 Werner Ruehl

We deal with Lagrangians which are not the standard scalar ones. We present a short review of tensor Lagrangians, which generate massless free fields and the Dirac field, as well as vector and pseudovector Lagrangians for the electric and…

Classical Physics · Physics 2016-02-03 Alexander Gersten

The theory of Gravitomagnetism and spinor quantum mechanics describing the interaction between the Dirac spinor field, the electromagnetic field, and a weak gravitational field is extended by including the Lagrangian density of the free…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Dalibor Javůrek

The eigenspinor approach uses the classical amplitude of the algebraic Lorentz rotation connecting the lab and rest frames to study the relativistic motion of particles. It suggests a simple covariant extension of the common definition of…

Classical Physics · Physics 2007-05-23 William E. Baylis

Within the scope of a spherically symmetric space-time we study the role of a nonlinear spinor field in the formation of different configurations with spherical symmetries. The presence of the non-diagonal components of energy-momentum…

General Relativity and Quantum Cosmology · Physics 2018-12-31 Bijan Saha

We consider a relativistic charged particle in a background scalar field depending on both space and time. Poincar\'e, dilation and special conformal symmetries of the field generate conserved quantities in the charge motion, and we exploit…

Mathematical Physics · Physics 2018-12-05 L. Ansell , T. Heinzl , A. Ilderton

A lagrangian which describes interactions between a soliton and a background field is derived for sigma models whose target is a symmetric space. The background field modifies the usual moduli space approximation to soliton dynamics in two…

High Energy Physics - Theory · Physics 2016-12-22 Derek Harland

The use of Lagrange multipliers in the context of quintessence/phantom scalar fields allows to constrain the behavior of the scalar field, which provides a powerful tool, not only for the reconstruction of cosmological solutions but also…

High Energy Physics - Theory · Physics 2015-05-30 Diego Sáez-Gómez

We present the full result for the divergent one-loop contribution to the effective boson Lagrangian for supergravity coupled to chiral and Yang-Mills supermultiplets. We also consider the specific case of dilaton couplings in effective…

High Energy Physics - Theory · Physics 2009-10-30 Mary K. Gaillard , Vidyut Jain , Kamran Saririan

We generalize the effective potential to scalar field configurations which are proportional to the Hubble parameter of a homogeneous and isotropic background geometry. This may be useful in situations for which curvature effects are…

General Relativity and Quantum Cosmology · Physics 2010-01-15 T. M. Janssen , S. P. Miao , T. Prokopec , R. P. Woodard

In the recent article Phys.\ Lett.\ B {\bf 759} (2016) 424 a new class of field theories called Nonlinear Field Space Theory has been proposed. In this approach, the standard field theories are considered as linear approximations to some…

High Energy Physics - Theory · Physics 2017-01-05 Jakub Mielczarek