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Relativistic spin states are convention dependent. In this work we prove that the zero momentum-transfer limits of the leading two form factors in the decomposition of the energy-momentum tensor matrix elements are independent of this…

高能物理 - 理论 · 物理学 2020-03-10 Cédric Lorcé , Peter Lowdon

The structure of the matrix elements of the energy-momentum tensor play an important role in determining the properties of the form factors $A(q^{2})$, $B(q^{2})$ and $C(q^{2})$ which appear in the Lorentz covariant decomposition of the…

高能物理 - 理论 · 物理学 2017-09-27 Peter Lowdon , Kelly Yu-Ju Chiu , Stanley J. Brodsky

By adopting a local QFT framework one can derive in a non-perturbative manner the constraints imposed by Poincar\'e symmetry on the form factors appearing in the Lorentz covariant decomposition of the energy-momentum tensor matrix elements.…

高能物理 - 理论 · 物理学 2020-01-09 Peter Lowdon , Sabrina Cotogno , Cédric Lorcé

In this work we investigate the matrix elements of the energy-momentum tensor for massless on-shell states in four-dimensional unitary, local, and Poincar\'e covariant quantum field theories. We demonstrate that these matrix elements can be…

高能物理 - 理论 · 物理学 2020-12-10 Cédric Lorcé , Peter Lowdon

The relativistic approach to electroweak properties of two-particle composite systems developed previously is generalized here to the case of nonzero spin. This approach is based on the instant form of relativistic Hamiltonian dynamics. A…

高能物理 - 唯象学 · 物理学 2013-11-14 A. F. Krutov , V. E. Troitsky

In this work, we systematically derive explicit expressions for the Poincar\'e Group generators on arbitrary-rank tensors and spinor-tensors in $D=3+1$ and $D=2+1$ spacetimes, thus generalizing previous works in the literature for the…

高能物理 - 理论 · 物理学 2024-06-07 H. V. Almeida Silva , D. Dalmazi , R. R. Lino dos Santos , E. L. Mendonça

The role of Poincar\'e covariant space-time translations is investigated in the case of the pseudoscalar-meson charge form factors calculated within a relativistic quantum mechanics framework. It is shown that this role extends beyond the…

核理论 · 物理学 2010-12-15 Bertrand Desplanques , Yu-Bing Dong

We extend our relativistic theory of gravitational structure of composite hadrons to obtain the pion gravitational form factors at large momentum transfers. The approach was used in the case of intermediate region of the variable in our…

高能物理 - 唯象学 · 物理学 2023-12-05 A. F. Krutov , V. E. Troitsky

It is well known that an essentially unique free massive particle field of given spin can be constructed as a linear combination of the annihilation and creation operators for free single particle states. And the given spin determines the…

高能物理 - 理论 · 物理学 2007-07-02 Richard Shurtleff

Recently, Cohen and Glashow pointed out that all known experimental tests of relativistic kinematics are consistent with invariance of physics under the four-parameter subgroup Sim(2) of the Lorentz group. The massive one-particle…

高能物理 - 唯象学 · 物理学 2008-11-26 JiJi Fan , Walter D. Goldberger , Witold Skiba

Starting with the generators of the Poincar\'e group for arbitrary mass (m) and spin (s) a nonunitary transformation is implemented to obtain momenta with an absolute Planck scale limit. In the rest frame (for $m>0$) the transformed energy…

高能物理 - 理论 · 物理学 2015-06-26 A. Chakrabarti

The relativistic approach to electroweak properties of two-particle composite systems developed in Ref. [A.F.Krutov, V.E.Troitsky, Phys.Rev.C. 65 (2002) 045501] is generalized here to the case of nonzero spin. In developed technique the…

高能物理 - 唯象学 · 物理学 2009-02-06 A. F. Krutov , V. E. Troitsky

The gravitational form factors are related to the matrix elements of the energy-momentum tensor $T^{\mu\nu}$. Using the light front wave functions of the scalar quark-diquark model for nucleon predicted by the soft-wall AdS/QCD, we…

高能物理 - 唯象学 · 物理学 2015-06-24 Dipankar Chakrabarti , Chandan Mondal , Asmita Mukherjee

Given standard angular momentum and boost matrices, the commutation rules for vector and momentum matrices are solved. The resulting matrix components are displayed as detailed functions of spin with factors such as the square root of…

数学物理 · 物理学 2007-08-12 Richard Shurtleff

We investigate the different decompositions of the angular momentum in QCD for a relativistic spin $1/2$ composite state, namely a quark dressed with a gluon. We use light-front Hamiltonian perturbation theory, and in the light-front gauge,…

高能物理 - 唯象学 · 物理学 2023-12-15 Ravi Singh , Sudeep Saha , Asmita Mukherjee , Nilmani Mathur

We construct one-particle states as unitary, irreducible representations of Poincare group in front form, characterized by a special null vector, dubbed reference vector. We demonstrate that this construction has massive-massless…

高能物理 - 理论 · 物理学 2026-05-26 Junmou Chen

The spin structure of nucleon at twist 2 and 3 levels is analyzed. The contribution of quark and gluon spins to nucleon spin are Lorentz invariant, while it is not sure for orbital angular momentum. The conserved fractional moments of…

高能物理 - 唯象学 · 物理学 2007-05-23 O. Teryaev , B. Pire , J. Soffer

Assuming the validity of the relativity principle, we discuss the implications on relativistic kinematics of a deformation of the Poincar\'e invariance that preserves the Poincar\'e algebra, and only modifies its action on phase space in a…

高能物理 - 理论 · 物理学 2016-09-28 B. Ivetic , S. Mignemi , A. Samsarov

We construct coherent states of the massless and massive representations of the Poincar\'e group. They are parameterised by points on the classical state space of spinning particles. Their properties are explored, with special emphasis on…

量子物理 · 物理学 2008-11-26 Charis Anastopoulos

The exact decomposition of the proton spin has been a much debated topic, on the experimental as well as the theoretical side. In this talk we would like to report on recent non-perturbative results and ongoing efforts to explore the proton…

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