427 research outputs found
Then again, how often does the Unruh-DeWitt detector click if we switch it carefully?
The transition probability in first-order perturbation theory for an
Unruh-DeWitt detector coupled to a massless scalar field in Minkowski space is
calculated. It has been shown recently that the conventional
regularisation prescription for the correlation function leads to non-Lorentz
invariant results for the transition rate, and a different regularisation,
involving spatial smearing of the field, has been advocated to replace it. We
show that the non-Lorentz invariance arises solely from the assumption of
sudden switch-on and switch-off of the detector, and that when the model
includes a smooth switching function the results from the conventional
regularisation are both finite and Lorentz invariant. The sharp switching limit
of the model is also discussed, as well as the falloff properties of the
spectrum for large frequencies.Comment: 16 pages, v3. Final published version with section 5 expande
Der Bruch der Theorie in der Praxis durch Not
Some Remarks on Lujo Brentano's View of Labor Market Problems
Lujo Brentano (1844-1931) aimed for "realism" in economics. Regarding labor market theory, two topics are of particular interest: His investigations on "Hours and Wages in Relation to Production" (Scribner's 1894) and his analysis "On the History and Development of Gilds and the Origins of Trade Unions" (Trubner 1870). The topics of are discussed with a view on recent developments in labor economics.Lujo Brentano (1844-1931) hat sich als "realistischen" Ökonomen verstanden. Im Bereich der Arbeitsmarkttheorie sind zwei Bereiche von besonderem Interesse: Seine Untersuchungen über den Zusammenhang zwischen Lohn, Arbeitszeit und Arbeitsleistung und seine Überlegungen zur Bildung von kollektiven Formen der Lohnsetzung. Diese beiden Themen werden unter Einbeziehung gesamtwirtschaftlicher und methodischer Aspekte und einiger moderner Gesichtspunkte diskutiert
How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile
We analyse within first-order perturbation theory the instantaneous
transition rate of an accelerated Unruh-DeWitt particle detector whose coupling
to a massless scalar field on four-dimensional Minkowski space is regularised
by a spatial profile. For the Lorentzian profile introduced by Schlicht, the
zero size limit is computed explicitly and expressed as a manifestly finite
integral formula that no longer involves regulators or limits. The same
transition rate is obtained for an arbitrary profile of compact support under a
modified definition of spatial smearing. Consequences for the asymptotic
behaviour of the transition rate are discussed. A number of stationary and
nonstationary trajectories are analysed, recovering in particular the Planckian
spectrum for uniform acceleration.Comment: 30 pages, 1 figure. v3: Added references and minor clarification
Is life a thermal horizon ?
This talk aims at questioning the vanishing of Unruh temperature for an
inertial observer in Minkovski spacetime with finite lifetime, arguing that in
the non eternal case the existence of a causal horizon is not linked to the
non-vanishing of the acceleration. This is illustrated by a previous result,
the diamonds temperature, that adapts the algebraic approach of Unruh effect to
the finite case.Comment: Proceedings of the conference DICE 2006, Piombino september 200
Intraosseous angiosarcoma with secondary aneurysmal bone cysts presenting as an elusive diagnostic challenge
Angiosarcoma of bone is an exceedingly rare primary bone malignancy that can present as an aggressive osteolytic lesion. Histological diagnosis can be extremely challenging, as the pathological features often resemble that of aneurysmal bone cysts. We report an interesting and peculiar case of an intraosseous angiosarcoma that presented as a diagnostic dilemma and discuss the relevant radiological and pathologic findings
Selection Wages and Discrimination
Applicants for any given job are more or less suited to fill it, and the firm will select the best among them. Increasing the wage offer attracts more applicants and makes it possible to raise the hiring standard and improve the productivity of the staff. Wages that optimize on the trade-off between the wage level and the productivity of the workforce are known as selection wages. As men react more strongly to wage differentials than females, the trade-off is more pronounced for men and a profit-maximizing firm will offer a higher wage for men than for women in equilibrium
Transition rate of the Unruh-DeWitt detector in curved spacetime
We examine the Unruh-DeWitt particle detector coupled to a scalar field in an
arbitrary Hadamard state in four-dimensional curved spacetime. Using smooth
switching functions to turn on and off the interaction, we obtain a
regulator-free integral formula for the total excitation probability, and we
show that an instantaneous transition rate can be recovered in a suitable
limit. Previous results in Minkowski space are recovered as a special case. As
applications, we consider an inertial detector in the Rindler vacuum and a
detector at rest in a static Newtonian gravitational field. Gravitational
corrections to decay rates in atomic physics laboratory experiments on the
surface of the Earth are estimated to be suppressed by 42 orders of magnitude.Comment: 27 pages, 1 figure. v3: Typos corrected. Published versio
Relativistic Quantum Information in Detectors-Field Interactions
We review Unruh-DeWitt detectors and other models of detector-field
interaction in a relativistic quantum field theory setting as a tool for
extracting detector-detector, field-field and detector-field correlation
functions of interest in quantum information science, from entanglement
dynamics to quantum teleportation. We in particular highlight the contrast
between the results obtained from linear perturbation theory which can be
justified provided switching effects are properly accounted for, and the
nonperturbative effects from available analytic expressions which incorporate
the backreaction effects of the quantum field on the detector behaviour.Comment: 21 pages, 3 figures. Prepared for the special focus issue on RQ
Accelerated detectors in Dirac vacuum: the effects of horizon fluctuations
We consider an Unruh-DeWitt detector interacting with a massless Dirac field.
Assuming that the detector is moving along an hyperbolic trajectory, we modeled
the effects of fluctuations in the event horizon using a Dirac equation with
random coefficients. First, we develop the perturbation theory for the
fermionic field in a random media. Further we evaluate corrections due to the
randomness in the response function associated to different model detectors.Comment: 19 pages, 1 figur
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