scholarly journals Closed expressions for specific massive multiloop self-energy integrals

1994 ◽  
Vol 63 (2) ◽  
pp. 227-234 ◽  
Author(s):  
F. A. Berends ◽  
M. B�hm ◽  
M. Buza ◽  
R. Scharf
Keyword(s):  
Self Energy ◽  
Energy Integrals

scholarly journals On Parametric and Dispersive Integrals

1993 ◽  
Vol 46 (6) ◽  
pp. 729
Author(s):  
R Delbourgo
Keyword(s):  
Gauge Theories ◽  
Parametric Form ◽  
Arbitrary Mass ◽  
Self Energy ◽  
Energy Integrals

Parametric and dispersive representations of self-energy integrals for particles of arbitrary mass in any dimension look very different. We establish their equivalence explicitly and suggest ways in which the parametric form might prove suitable for tackling Schwinger-Dyson equations in gauge theories.

scholarly journals Tensor Two-loop Self-energy Integrals

2010 ◽  
Vol 20 (2) ◽  
Author(s):  
Phan Hong Khiem ◽  
Do Hoang Son
Keyword(s):  
Self Energy ◽  
Energy Integrals

scholarly journals TSIL: a program for the calculation of two-loop self-energy integrals

2006 ◽  
Vol 174 (2) ◽  
pp. 133-151 ◽  
Author(s):  
Stephen P. Martin ◽  
David G. Robertson
Keyword(s):  
Self Energy ◽  
Energy Integrals

scholarly journals TVID 2: evaluation of planar-type three-loop self-energy integrals with arbitrary masses

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Stefan Bauberger ◽  
Ayres Freitas ◽  
Daniel Wiegand
Keyword(s):  
Self Energy ◽  
Energy Integrals

Phenomena and devices at the quantum scale and the mesoscale

2017 ◽  
Author(s):  
Sandip Tiwari
Keyword(s):  
Coulomb Blockade ◽  
Secure Communication ◽  
Quantum Hall ◽  
Nanoscale Device ◽  
Self Energy ◽  
Stability Diagrams ◽  
Charge Stability ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Non Locality

Unique nanoscale phenomena arise in quantum and mesoscale properties and there are additional intriguing twists from effects that are classical in origin. In this chapter, these are brought forth through an exploration of quantum computation with the important notions of superposition, entanglement, non-locality, cryptography and secure communication. The quantum mesoscale and implications of nonlocality of potential are discussed through Aharonov-Bohm effect, the quantum Hall effect in its various forms including spin, and these are unified through a topological discussion. Single electron effect as a classical phenomenon with Coulomb blockade including in multiple dot systems where charge stability diagrams may be drawn as phase diagram is discussed, and is also extended to explore the even-odd and Kondo consequences for quantum-dot transport. This brings up the self-energy discussion important to nanoscale device understanding.

scholarly journals Master integrals for bipartite cuts of three-loop photon self energy

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
R. N. Lee ◽  
A. I. Onishchenko
Keyword(s):  
Spectral Density ◽  
High Energy ◽  
Elliptic Integrals ◽  
Iterated Integrals ◽  
Self Energy ◽  
Complete Elliptic Integrals ◽  
The One

Abstract We calculate the master integrals for bipartite cuts of the three-loop propagator QED diagrams. These master integrals determine the spectral density of the photon self energy. Our results are expressed in terms of the iterated integrals, which, apart from the 4m cut (the cut of 4 massive lines), reduce to Goncharov’s polylogarithms. The master integrals for 4m cut have been calculated in our previous paper in terms of the one-fold integrals of harmonic polylogarithms and complete elliptic integrals. We provide the threshold and high-energy asymptotics of the master integrals found, including those for 4m cut.

Electron Self-Energy and the Compton Amplitudes

1970 ◽  
Vol 1 (4) ◽  
pp. 1166-1171
Author(s):  
Paul M. Fishbane
Keyword(s):  
Self Energy

scholarly journals Moving Pearl Vortices in Thin-Film Superconductors

2021 ◽  
Vol 6 (1) ◽  
pp. 4
Author(s):  
Vladimir Kogan ◽  
Norio Nakagawa
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Time Dependent ◽  
Superconducting Thin Film ◽  
Self Energy ◽  
London Equation ◽  
The Magnetic Field

The magnetic field hz of a moving Pearl vortex in a superconducting thin-film in (x,y) plane is studied with the help of the time-dependent London equation. It is found that for a vortex at the origin moving in +x direction, hz(x,y) is suppressed in front of the vortex, x>0, and enhanced behind (x<0). The distribution asymmetry is proportional to the velocity and to the conductivity of normal quasiparticles. The vortex self-energy and the interaction of two moving vortices are evaluated.

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