scholarly journals Models of Local Relativistic Quantum Fields with Indefinite Metric (in All Dimensions)

1997 ◽  
Vol 184 (3) ◽  
pp. 509-531 ◽  
Author(s):  
S. Albeverio ◽  
H. Gottschalk ◽  
J.-L.- Wu
Keyword(s):  
Relativistic Quantum ◽  
Indefinite Metric ◽  
Quantum Fields

scholarly journals A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ivan M. Burbano ◽  
T. Rick Perche ◽  
Bruno de S. L. Torres
Keyword(s):  
Path Integral ◽  
Degrees Of Freedom ◽  
Wilson Line ◽  
Transition Probability ◽  
Relativistic Quantum ◽  
Quantum Fields ◽  
Line Defect ◽  
Particle Detectors ◽  
Nonlocal Operators ◽  
Detector Model

Abstract Particle detectors are an ubiquitous tool for probing quantum fields in the context of relativistic quantum information (RQI). We formulate the Unruh-DeWitt (UDW) particle detector model in terms of the path integral formalism. The formulation is able to recover the results of the model in general globally hyperbolic spacetimes and for arbitrary detector trajectories. Integrating out the detector’s degrees of freedom yields a line defect that allows one to express the transition probability in terms of Feynman diagrams. Inspired by the light-matter interaction, we propose a gauge invariant detector model whose associated line defect is related to the derivative of a Wilson line. This is another instance where nonlocal operators in gauge theories can be interpreted as physical probes for quantum fields.

scholarly journals Scattering Theory for Quantum Fields¶with Indefinite Metric

2001 ◽  
Vol 216 (3) ◽  
pp. 491-513 ◽  
Author(s):  
Sergio Albeverio ◽  
Hanno Gottschalk
Keyword(s):  
Scattering Theory ◽  
Indefinite Metric ◽  
Quantum Fields

The Lorentz gauge in non-relativistic quantum electrodynamics

1982 ◽  
Vol 383 (1785) ◽  
pp. 485-502 ◽  
Keyword(s):  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Coulomb Energy ◽  
Indefinite Metric ◽  
Longitudinal Field ◽  
Lorentz Gauge ◽  
Transverse And Longitudinal Components ◽  
Relativistic Electrodynamics

It is shown how the conventional Lagrangian of non-relativistic electrodynamics leads to a theory in the Lorentz gauge where the scalar potential is treated on an equal footing with the transverse and longitudinal components of the vector potential. This requires the introduction of an indefinite metric as in the Gupta-Bleuler method. Calculations based on this approach with the use of ordinary perturbation theory for the free-space Lamb-shift of hydrogen are shown to exhibit remarkable exact cancellations between parts of the contribution arising from the scalar field and the entire contribution from the longitudinal field to order e 2 , and the result is in agreement with Bethe’s expression where only transverse photons are involved. The non-relativistic theory in the Lorentz gauge is also used to compute the order- e 2 potential on a charged particle outside a conductor where again similar exact cancellations are exhibited. The advantage of the formalism in the Lorentz gauge is emphasized in that it provides an unambiguous procedure for the evaluation of the leading Coulomb energy shifts particularly in the interaction of particles with the surfaces of active media where the Coulomb gauge may be problematical.

Relativistic Quantum Fields

1966 ◽  
Vol 34 (4) ◽  
pp. 367-367 ◽  
Author(s):  
J. D. Bjorken ◽  
S. D. Drell ◽  
Peter B. Kahn
Keyword(s):  
Relativistic Quantum ◽  
Quantum Fields
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