scholarly journals Role of zero modes in the canonical quantization of heavy-fermion QED in light-cone coordinates

1993 ◽  
Vol 48 (12) ◽  
pp. 5873-5882 ◽  
Author(s):  
Robert W. Brown ◽  
Jin Woo Jun ◽  
Shmaryu M. Shvartsman ◽  
Cyrus C. Taylor
Keyword(s):  
Light Cone ◽  
Heavy Fermion ◽  
Canonical Quantization ◽  
Zero Modes

Symmetries from the solution manifold

2015 ◽  
Vol 12 (08) ◽  
pp. 1560016 ◽  
Author(s):  
Víctor Aldaya ◽  
Julio Guerrero ◽  
Francisco F. Lopez-Ruiz ◽  
Francisco Cossío
Keyword(s):  
Symplectic Structure ◽  
Vector Fields ◽  
Sigma Model ◽  
Canonical Quantization ◽  
General Concept ◽  
Noether Theorem ◽  
Preliminary Step ◽  
Hamiltonian Vector Fields ◽  
Solution Manifold

We face a revision of the role of symmetries of a physical system aiming at characterizing the corresponding Solution Manifold (SM) by means of Noether invariants as a preliminary step towards a proper, non-canonical, quantization. To this end, "point symmetries" of the Lagrangian are generally not enough, and we must resort to the more general concept of contact symmetries. They are defined in terms of the Poincaré–Cartan form, which allows us, in turn, to find the symplectic structure on the SM, through some sort of Hamilton–Jacobi (HJ) transformation. These basic symmetries are realized as Hamiltonian vector fields, associated with (coordinate) functions on the SM, lifted back to the Evolution Manifold through the inverse of this HJ mapping, that constitutes an inverse of the Noether Theorem. The specific examples of a particle moving on S3, at the mechanical level, and nonlinear SU(2)-sigma model in field theory are sketched.

scholarly journals THE SPIN STRUCTURE OF THE NUCLEON IN LIGHT-CONE QUARK MODELS

2009 ◽  
Vol 24 (35n37) ◽  
pp. 2903-2912 ◽  
Author(s):  
B. PASQUINI ◽  
S. BOFFI ◽  
P. SCHWEITZER
Keyword(s):  
Transverse Momentum ◽  
Light Cone ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Spin Asymmetries ◽  
Generalized Parton Distributions ◽  
Quark Spin ◽  
Quark Models ◽  
Impact Parameter Space

The quark spin densities related to generalized parton distributions in impact-parameter space and to transverse-momentum dependent parton distributions are reviewed within a light-cone quark model, with focus on the role of the different spin-spin and spin-orbit correlations of quarks. Results for azimuthal spin asymmetries in semi-inclusive deep inelastic scattering due to T -even transverse-momentum dependent parton distributions are also discussed.

scholarly journals The role of zero modes for the infrared behavior of QCD

1994 ◽  
Vol 338 (2-3) ◽  
pp. 313-318 ◽  
Author(s):  
Dieter Stoll ◽  
Soh Takeuchi ◽  
Koichi Yazaki
Keyword(s):  
Zero Modes ◽  
Infrared Behavior

DC Magnetic Susceptibility of CeCoGe2.36Si0.64 under High Pressure

2012 ◽  
Vol 190 ◽  
pp. 405-408
Author(s):  
J.J. Larrea ◽  
J. Teyssier ◽  
H. Ronnow ◽  
M. Müller ◽  
A. Sidorenko ◽  
...  
Keyword(s):  
High Pressure ◽  
Magnetic Susceptibility ◽  
Heavy Fermion ◽  
Pressure Range ◽  
Magnetic Phase ◽  
Ambient Pressure ◽  
Quantum Critical Point ◽  
Magnetic Phase Diagram ◽  
Antiferromagnetic Order

We report an investigation of the magnetic phase diagram of the heavy fermion com-pound CeCoGe2.36Si0.64 using DC magnetic susceptibility measurements under high pressure upto 10 kbar. The antiferromagnetic order that develops at ambient pressure below about 5.5 Kremains essentially unaffected by pressure in the investigated pressure range up to 10 kbar. Onthe other hand, moderate magnetic fields appear to induce a quantum critical point in a sam-ple subject to a pressure of 2 kbar. We discuss the role of disorder in the series of compoundsCeCoGe3−xSix.

scholarly journals Role of dephasing on the conductance signatures of Majorana zero modes

2021 ◽  
Author(s):  
Chaitrali Duse ◽  
Praveen Sriram ◽  
Kaveh Gharavi ◽  
Jonathan Baugh ◽  
Bhaskaran Muralidharan
Keyword(s):  
Zero Modes

scholarly journals One-loop structure of parton distribution for the gluon condensate and “zero modes”

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Anatoly Radyushkin ◽  
Shuai Zhao
Keyword(s):  
Gauge Invariance ◽  
Parton Distribution ◽  
Light Cone ◽  
Zero Mode ◽  
Gluon Condensate ◽  
Loop Structure ◽  
Matrix Elements ◽  
Zero Modes ◽  
Strict Compliance ◽  
Evolution Kernel

Abstract We present results for one-loop corrections to the recently introduced “gluon condensate” PDF F(x). In particular, we give expression for the gg-part of its evolution kernel. To enforce strict compliance with the gauge invariance requirements, we have used on-shell states for external gluons, and have obtained identical results both in Feynman and light-cone gauges. No “zero mode” δ(x) terms were found for the twist-4 gluon PDF F(x). However a q2δ(x) term was found for the ξ = 0 GPD F(x, q2) at nonzero momentum transfer q. Overall, our results do not agree with the original attempt of one-loop calculations of F(x) for gluon states, which sets alarm warning for calculations that use matrix elements with virtual external gluons and for lattice renormalization procedures based on their results.

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