Schwinger-DeWitt proper-time expansion and eikonal approximation

1985 ◽  
Vol 31 (4) ◽  
pp. 829-847
Author(s):  
S. K. Kim ◽  
Choonkyu Lee ◽  
D. P. Min
2019 ◽  
Vol 2019 (2) ◽  
Author(s):  
Inês Aniceto ◽  
Jakub Jankowski ◽  
Ben Meiring ◽  
Michał Spaliński

1985 ◽  
Vol 31 (10) ◽  
pp. 2439-2451 ◽  
Author(s):  
Ian Jack ◽  
Leonard Parker

2002 ◽  
Vol 17 (06n07) ◽  
pp. 820-824 ◽  
Author(s):  
SERGEY V. SUSHKOV

We use the substitution m2 → M2(x) = m2 + ξR(x) to construct a new form of the proper-time expansion of the Feynman propagator and the corresponding form of the renormalization counterterms < ϕ2>DS and < Tμν > DS for the scalar field.


2003 ◽  
Vol 8 (4) ◽  
pp. 4-5
Author(s):  
Christopher R. Brigham ◽  
James B. Talmage

Abstract Permanent impairment cannot be assessed until the patient is at maximum medical improvement (MMI), but the proper time to test following carpal tunnel release often is not clear. The AMA Guides to the Evaluation of Permanent Impairment (AMA Guides) states: “Factors affecting nerve recovery in compression lesions include nerve fiber pathology, level of injury, duration of injury, and status of end organs,” but age is not prognostic. The AMA Guides clarifies: “High axonotmesis lesions may take 1 to 2 years for maximum recovery, whereas even lesions at the wrist may take 6 to 9 months for maximal recovery of nerve function.” The authors review 3 studies that followed patients’ long-term recovery of hand function after open carpal tunnel release surgery and found that estimates of MMI ranged from 25 weeks to 24 months (for “significant improvement”) to 18 to 24 months. The authors suggest that if the early results of surgery suggest a patient's improvement in the activities of daily living (ADL) and an examination shows few or no symptoms, the result can be assessed early. If major symptoms and ADL problems persist, the examiner should wait at least 6 to 12 months, until symptoms appear to stop improving. A patient with carpal tunnel syndrome who declines a release can be rated for impairment, and, as appropriate, the physician may wish to make a written note of this in the medical evaluation report.


Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan

This chapter discusses the kinematics of point particles undergoing any type of motion. It introduces the concept of proper time—the geometric representation of the time measured by an accelerated clock. It also describes a world line, which represents the motion of a material point or point particle P, that is, an object whose spatial extent and internal structure can be ignored. The chapter then considers the interpretation of the curvilinear abscissa, which by definition measures the length of the world line L representing the motion of the point particle P. Next, the chapter discusses a mathematical result popularized by Paul Langevin in the 1920s, the so-called ‘Langevin twins’ which revealed a paradoxical result. Finally, the transformation of velocities and accelerations is discussed.


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