446 research outputs found

    Operator product expansions as a consequence of phase space properties

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    The paper presents a model-independent, nonperturbative proof of operator product expansions in quantum field theory. As an input, a recently proposed phase space condition is used that allows a precise description of point field structures. Based on the product expansions, we also define and analyze normal products (in the sense of Zimmermann).Comment: v3: minor wording changes, as to appear in J. Math. Phys.; 12 page

    Geometric phases, gauge symmetries and ray representation

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    The conventional formulation of the non-adiabatic (Aharonov-Anandan) phase is based on the equivalence class {eiα(t)ψ(t,x⃗)}\{e^{i\alpha(t)}\psi(t,\vec{x})\} which is not a symmetry of the Schr\"{o}dinger equation. This equivalence class when understood as defining generalized rays in the Hilbert space is not generally consistent with the superposition principle in interference and polarization phenomena. The hidden local gauge symmetry, which arises from the arbitrariness of the choice of coordinates in the functional space, is then proposed as a basic gauge symmetry in the non-adiabatic phase. This re-formulation reproduces all the successful aspects of the non-adiabatic phase in a manner manifestly consistent with the conventional notion of rays and the superposition principle. The hidden local symmetry is thus identified as the natural origin of the gauge symmetry in both of the adiabatic and non-adiabatic phases in the absence of gauge fields, and it allows a unified treatment of all the geometric phases. The non-adiabatic phase may well be regarded as a special case of the adiabatic phase in this re-formulation, contrary to the customary understanding of the adiabatic phase as a special case of the non-adiabatic phase. Some explicit examples of geometric phases are discussed to illustrate this re-formulation.Comment: 30 pages. Some clarifying sentences have been added in abstract and in the body of the paper. A new additional reference and some typos have been corrected. To appear in Int. J. Mod. Phys.

    Entropy production rates of bistochastic strictly contractive quantum channels on a matrix algebra

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    We derive, for a bistochastic strictly contractive quantum channel on a matrix algebra, a relation between the contraction rate and the rate of entropy production. We also sketch some applications of our result to the statistical physics of irreversible processes and to quantum information processing.Comment: 7 pages; revised version submitted to J. Phys.

    Pointlike constituent quarks and scattering equivalences

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    In this paper scattering equivalences are used to simplify current operators in constituent quark models. The simplicity of the method is illustrated by applying it to a relativistic constituent quark model that fits the meson mass spectrum. This model requires a non-trivial constituent quark current operator to fit the pion form factor data. A model with a different confining interaction, that has the identical spectrum and can reproduce the measured pion form factor using only point-like constituent quark impulse currents is constructed. Both the original and transformed models are relativistic direct-interaction models with a light-front kinematic subgroup.Comment: 12 pages, 6 figures, corrected caption on fig

    Cognitive stimulation therapy for people with dementia in practice: A service evaluation

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    Introduction Cognitive stimulation therapy is a well-recognised evidence-based cognitive psychosocial intervention for people with mild to moderate dementia. Despite increased use of the programme, little is known about its implementation in practice. Method A service evaluation of care home staff that received cognitive stimulation therapy training was conducted, and on-going support to deliver the programme in practice was provided. Outcome measures collected at baseline and 6 month follow up included sense of competence, learning transfer, dementia knowledge, and approaches to dementia. Attendance records were also collected. Results Ten out of 12 care homes attempted to deliver the cognitive stimulation therapy programme after receiving training and support. Overall, a high number of sessions were delivered. In addition, the staff members demonstrated significant improvements in positive approaches to dementia care and sense of competence. Conclusions This article reports encouraging findings of training and outreach support with demonstrated improvements in staff outcomes and successful implementation of the cognitive stimulation therapy programme. These results support the current evidence base supporting the use of cognitive stimulation therapy in routine care. This is relevant to occupational therapy as the profession plays a crucial part in the implementation of psychosocial interventions for dementia in practice

    Comment on "Fermionic entanglement ambiguity in noninertial frames"

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    In this comment we show that the ambiguity of entropic quantities calculated in Physical Review A 83, 062323 (2011) for fermionic fields in the context of Unruh effect is not related to the properties of anticommuting fields, as claimed in Physical Review A 83, 062323 (2011), but rather to wrong mathematical manipulations with them and not taking into account a fundamental superselection rule of quantum field theory.Comment: To appear in Physical Review A. Some of the problems discussed in this comment can also be found in other previously published papers studying the Unruh effect for fermions (in the context of quantum information theory). An extended version of the comment can be found here http://arxiv.org/abs/1108.555

    Radion Induced Spontaneous Baryogenesis

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    We describe a possible scenario for the baryogenesis arising when matter is added on the branes of a Randall-Sundrum model with a radion stabilizing potential. We show that the radion field can naturally induce spontaneous baryogenesis when the cosmological evolution for the matter on the branes is taken into account.Comment: LaTeX 2e, 8 pages and no figures, minor corrections to match version to appear in MPL

    Conditions for strictly purity-decreasing quantum Markovian dynamics

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    The purity, Tr(rho^2), measures how pure or mixed a quantum state rho is. It is well known that quantum dynamical semigroups that preserve the identity operator (which we refer to as unital) are strictly purity-decreasing transformations. Here we provide an almost complete characterization of the class of strictly purity-decreasing quantum dynamical semigroups. We show that in the case of finite-dimensional Hilbert spaces a dynamical semigroup is strictly purity-decreasing if and only if it is unital, while in the infinite dimensional case, unitality is only sufficient.Comment: 4 pages, no figures. Contribution to the special issue "Real-time dynamics in complex quantum systems" of Chemical Physics in honor of Phil Pechukas. v2: Simplified proof of theorem 1 and validity conditions clarifie

    Wedge-Local Quantum Fields on a Nonconstant Noncommutative Spacetime

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    Within the framework of warped convolutions we deform the massless free scalar field. The deformation is performed by using the generators of the special conformal transformations. The investigation shows that the deformed field turns out to be wedge-local. Furthermore, it is shown that the spacetime induced by the deformation with the special conformal operators is nonconstant noncommutative. The noncommutativity is obtained by calculating the deformed commutator of the coordinates
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