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Collinear fields in soft collinear effective theory (SCET) can be made invariant under collinear gauge transformations by multiplying them with collinear Wilson lines. We discuss how we can quantize SCET directly in terms of these gauge…

高能物理 - 唯象学 · 物理学 2008-09-09 Christian W. Bauer , Oscar Cata , Grigory Ovanesyan

We solve the problem of constructing consistent first-order cross-interactions between spin-2 and spin-3 massless fields in flat spacetime of arbitrary dimension n > 3 and in such a way that the deformed gauge algebra is non-Abelian. No…

高能物理 - 理论 · 物理学 2009-11-11 Nicolas Boulanger , Serge Leclercq

We investigate the possibility of extending the "partially massless" symmetry of a spin-2 field in de Sitter to nonlinear order. To do so, we impose a closure condition on the symmetry transformations. This requirement imposes strong…

高能物理 - 理论 · 物理学 2015-06-17 Sebastian Garcia-Saenz , Rachel A. Rosen

Using Noether's procedure we present a complete solution for the trilinear interactions of arbitrary spins $s_{1},s_{2}, s_{3}$ in a flat background, and discuss the possibility to enlarge this construction to higher order interactions in…

高能物理 - 理论 · 物理学 2012-01-18 Ruben Manvelyan , Karapet Mkrtchyan , Werner Ruehl

Conformal totally symmetric arbitrary spin bosonic fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative (ordinary-derivative) formulation for such fields is developed. We obtain gauge…

高能物理 - 理论 · 物理学 2015-05-13 R. R. Metsaev

The Rarita-Schwinger operator is the twisted Dirac operator restricted to 3/2-spinors. Rarita-Schwinger fields are solutions of this operator which are in addition divergence-free. This is an overdetermined problem and solutions are rare;…

微分几何 · 数学 2021-05-24 Christian Baer , Rafe Mazzeo

We study the interaction of gauge fields of arbitrary half-integer spins with the homogeneous electromagnetic field. We reduce the problem of obtaining the gauge-invariant Lagrangian and transformations of the half-integer spin fields in…

高能物理 - 理论 · 物理学 2009-10-31 S. M. Klishevich

The so-called Takahashi's \emph{Inversion Theorem}, the reconstruction of a given spinor based on its bilinear covariants, are re-examined, considering alternative dual structures. In contrast to the classical results, where the Dirac dual…

高能物理 - 理论 · 物理学 2023-07-27 R. J. Bueno Rogerio , R. T. Cavalcanti , J. M. Hoff da Silva , C. H. Coronado Villalobos

A gauge-invariant field is found which describes physical configurations, i.e. gauge orbits, of non-Abelian gauge theories. This is accomplished with non-Abelian generalizations of the Poincare'-Hodge formula for one-forms. In a particular…

高能物理 - 理论 · 物理学 2009-11-10 Peter Orland

Applications imposing SU(3) chiral symmetry on non-relativistic field theory are considered. The first example is a calculation of the self-energy shifts of the spin-3/2 decuplet baryons in nuclear matter, from the chiral effective…

高能物理 - 唯象学 · 物理学 2007-05-23 S. M. Ouellette

We analyze the low-energy spin structure of the nucleon in a covariant effective field theory with explicit spin-3/2 degrees of freedom to third order in the small scale expansion. Using the available data on the strong and electromagnetic…

高能物理 - 唯象学 · 物理学 2015-06-11 V. Bernard , E. Epelbaum , H. Krebs , U. -G. Meißner

We stress, on theoretical and phenomenological grounds, the importance of the $\Delta(1232)$-resonance in a chiral effective field theory approach applied to the study of $\pi N$ scattering. We show how its inclusion as a dynamical degree…

高能物理 - 唯象学 · 物理学 2015-06-17 J. M. Alarcón

The quantum field theory is expanding in de Sitter space-time. The ambient space formalism let us to develop the quantum field theory in a careful mathematical framework. Using the gauge-covariant derivative in the de Sitter ambient space,…

高能物理 - 理论 · 物理学 2019-01-25 S. Falahi , S. Parsamehr

A fundamental challenge in supersymmetric field theory is that supersymmetry transformations on field variables generally form an algebra only on-shell, i.e. upon imposing the field equations. We show that this issue is defused in a…

高能物理 - 理论 · 物理学 2025-07-08 J. François , L. Ravera

We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the…

高能物理 - 理论 · 物理学 2019-09-04 Euihun Joung , Karapet Mkrtchyan , Gabriel Poghosyan

Heavy baryon chiral perturbation theory is briefly reviewed, paying particular attention to the role of the spin 3/2 delta resonances. The concept of resonance saturation for the baryonic sector is critically discussed. Starting from a…

高能物理 - 唯象学 · 物理学 2007-05-23 Joachim Kambor

Requiring covariance of Maxwell's equations without {\it a priori} imposing charge invariance allows for both spin-1 and spin-1/2 transformations of the complete Maxwell field and current. The spin-1/2 case yields new transformation rules,…

高能物理 - 理论 · 物理学 2008-11-26 Rollin S. Armour

In the $\mathcal{N}=1$, $d=3$ superspace, we propose a massive superfield theory formulated in terms of a spinor gauge superfield, whose component content includes a two-form field, and a real scalar matter superfield. For this model, we…

高能物理 - 理论 · 物理学 2019-07-11 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

Let M be a closed oriented 4-manifold, with Riemannian metric g, and a spin^C structure induced by an almost-complex structure \omega. Each connection A on the determinant line bundle induces a unique connection \nabla^A, and Dirac operator…

微分几何 · 数学 2007-05-23 Alexandru Scorpan

Totally symmetric arbitrary spin conformal fields in (A)dS space of even dimension greater than or equal to four are studied. Ordinary-derivative and gauge invariant Lagrangian formulation for such fields is obtained. Gauge symmetries are…

高能物理 - 理论 · 物理学 2014-09-02 R. R. Metsaev