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1,088
Mechanical Systems with Poincaré Invariance
, 2001
"... Some years ago Ruijsenaars and Schneider initiated the study of mechanical systems exhibiting an action of the Poincaré algebra. The systems they discovered were far richer: their models were actually integrable and possessed a natural quantum version. We follow this early work finding and classifyi ..."
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Some years ago Ruijsenaars and Schneider initiated the study of mechanical systems exhibiting an action of the Poincaré algebra. The systems they discovered were far richer: their models were actually integrable and possessed a natural quantum version. We follow this early work finding
Poincaré Invariant ThreeBody Scattering
, 812
"... Abstract. Relativistic Faddeev equations for threebody scattering are solved at arbitrary energies in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated withing the framework of Poincaré invariant quantum mechanics. Based on a Malfliet ..."
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Abstract. Relativistic Faddeev equations for threebody scattering are solved at arbitrary energies in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated withing the framework of Poincaré invariant quantum mechanics. Based on a Malfliet
Poincare invariance in effective string theories
 JHEP 0605
, 2006
"... We investigate the dispersion relation of the winding closedstring states in SU(N) gauge theory defined on a ddimensional hypertorus, in a class of effective string theories. We show that order by order in the asymptotic expansion, each energy eigenstate satisfies a relativistic dispersion relatio ..."
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Cited by 13 (0 self)
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We investigate the dispersion relation of the winding closedstring states in SU(N) gauge theory defined on a ddimensional hypertorus, in a class of effective string theories. We show that order by order in the asymptotic expansion, each energy eigenstate satisfies a relativistic dispersion relation. This is illustrated in the LüscherWeisz effective string theory to twoloop order, where the Polyakov loop matrix elements between the vacuum and the closed string states are obtained explicitly. We attempt a generalization of these The degrees of freedom and the dynamics of the QCD string have been the object of detailed studies in recent years (see [1] for a review). The energy stored in the gauge field in the presence of a distant static Q ¯Q pair grows linearly with their separation [2, 3] R in the pure SU(N) theory, suggesting that the fluxlines running between the two color
Poincaré invariance constraints on NRQCD and potential
, 2003
"... We discuss the constraints induced by the algebra of the Poincaré generators on nonrelativistic effective field theories. In the first part we derive some relations among the matching coefficients of the HQET (and NRQCD), which have been formerly obtained by use of reparametrization invariance. In ..."
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Cited by 2 (1 self)
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We discuss the constraints induced by the algebra of the Poincaré generators on nonrelativistic effective field theories. In the first part we derive some relations among the matching coefficients of the HQET (and NRQCD), which have been formerly obtained by use of reparametrization invariance
Twisted Poincaré Invariant Quantum Field Theories,” Phys
 Rev. D
"... Abstract: It is by now well known that the Poincaré group acts on the Moyal plane with a twisted coproduct. Poincaré invariant classical field theories can be formulated for this twisted coproduct. In this paper we systematically study such a twisted Poincaré action in quantum theories on the Moyal ..."
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Cited by 8 (3 self)
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Abstract: It is by now well known that the Poincaré group acts on the Moyal plane with a twisted coproduct. Poincaré invariant classical field theories can be formulated for this twisted coproduct. In this paper we systematically study such a twisted Poincaré action in quantum theories on the Moyal
QFT with Twisted Poincaré Invariance and the Moyal Product
, 2007
"... Abstract: We study the consequences of twisting the Poincaré invariance in a quantum field theory. First, we construct a Fock space compatible with the twisting and the corresponding creation and annihilation operators. Then, we show that a covariant field linear in creation and annihilation operato ..."
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Cited by 3 (0 self)
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Abstract: We study the consequences of twisting the Poincaré invariance in a quantum field theory. First, we construct a Fock space compatible with the twisting and the corresponding creation and annihilation operators. Then, we show that a covariant field linear in creation and annihilation
Poincaré Invariance, Cluster Properties, and Particle Production
, 2008
"... A method is presented for constructing a class of Poincaré invariant quantum mechanical models of systems of a finite number of degrees of freedom that satisfy cluster separability, the spectral condition, but do not conserve particle number. The class of models includes the relativistic Lee model [ ..."
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A method is presented for constructing a class of Poincaré invariant quantum mechanical models of systems of a finite number of degrees of freedom that satisfy cluster separability, the spectral condition, but do not conserve particle number. The class of models includes the relativistic Lee model
Threebody scattering in Poincaré invariant quantum mechanics
, 2008
"... The relativistic threenucleon problem is formulated by constructing a dynamical unitary representation of the Poincaré group on the threenucleon Hilbert space. Twobody interactions are included that preserve the Poincaré symmetry, lead to the same invariant twobody Smatrix as the corresponding n ..."
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The relativistic threenucleon problem is formulated by constructing a dynamical unitary representation of the Poincaré group on the threenucleon Hilbert space. Twobody interactions are included that preserve the Poincaré symmetry, lead to the same invariant twobody Smatrix as the corresponding
Functional Equations and Poincare Invariant Mechanical Systems
, 2008
"... We study the following functional equation that has arisen in the context of mechanical systems invariant under the Poincaré algebra: n+1 i=1 f (xi − xj) = 0, n ≥ 2. ∂xi j=i New techniques are developed and the general solution within a certain class of functions is given. New solutions are found. ..."
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Cited by 1 (1 self)
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We study the following functional equation that has arisen in the context of mechanical systems invariant under the Poincaré algebra: n+1 i=1 f (xi − xj) = 0, n ≥ 2. ∂xi j=i New techniques are developed and the general solution within a certain class of functions is given. New solutions are found.
Results 1  10
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1,088