scholarly journals Exact Green’s function of photon and medium effects in QED2+1

2020 ◽  
Vol 28 (2) ◽  
pp. 19-28
Author(s):  
S. Bannikov ◽  
V. Skalozub
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Quantum Electrodynamics ◽  
Chemical Potential ◽  
Form Factors ◽  
Polarization Operator ◽  
Zero Temperature ◽  
Medium Effects ◽  
Longitudinal Modes ◽  
Debye Mass

In (2+1)­-dimensional Maxwell­-Chern­-Simons quantum electrodynamics, we derive the structure of the exact polarization operator in the presence of medium characterized by a chemical potential μ. We show that the transverse part of the operator is the sum of four tensors. These tensors and unit one form an algebra with respect to the commutation operation. Green’s function of photons at zero temperature is derived on the basis of calculations of the one­loop form factors. The spectrum of modes is investigated. We find that the transverse and longitudinal modes exist in medium. This result differs from that of other authors. Dependence of the photon Debye mass on the form factors is investigated and a static electric potential is calculated.

scholarly journals On the zero-crossing of the three-gluon Green’s function from lattice simulations

2018 ◽  
Vol 175 ◽  
pp. 12012 ◽  
Author(s):  
Andreas Athenodorou ◽  
Philippe Boucaud ◽  
Feliciano de Soto ◽  
José Rodríguez-Quintero ◽  
Savvas Zafeiropoulos
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Large Volume ◽  
Form Factors ◽  
Tree Level ◽  
Zero Crossing ◽  
Zero Momentum ◽  
Made In

We report on some efforts recently made in order to gain a better understanding of some IR properties of the 3-point gluon Green’s function by exploiting results from large-volume quenched lattice simulations. These lattice results have been obtained by using both tree-level Symanzik and the standard Wilson action, in the aim of assessing the possible impact of effects presumably resulting from a particular choice for the discretization of the action. The main resulting feature is the existence of a negative log-aritmic divergence at zero-momentum, which pulls the 3-gluon form factors down at low momenta and, consequently, yields a zero-crossing at a given deep IR momentum. The results can be correctly explained by analyzing the relevant Dyson-Schwinger equations and appropriate truncation schemes.

On the Green's function of gauge-independent theory of quantum electrodynamics

1963 ◽  
Vol 24 ◽  
pp. 19-36 ◽  
Author(s):  
A.Q Sarker
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Quantum Electrodynamics

scholarly journals HOW DOES A QUADRATIC TERM IN THE ENERGY DISPERSION MODIFY THE SINGLE-PARTICLE GREEN'S FUNCTION OF THE TOMONAGA–LUTTINGER MODEL?

2000 ◽  
Vol 14 (14) ◽  
pp. 1481-1499 ◽  
Author(s):  
TOM BUSCHE ◽  
PETER KOPIETZ
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Single Particle ◽  
Anomalous Dimension ◽  
Chemical Potential ◽  
Quadratic Term ◽  
Fermi Velocity ◽  
Energy Dispersion ◽  
Luttinger Model ◽  
Energy Behavior

We calculate the effect of a quadratic term in the energy dispersion on the low-energy behavior of the Green's function of the spinless Tomonaga–Luttinger model (TLM). Assuming that for small wave-vectors q= k-k F the fermionic excitation energy relative to the Fermi energy is v F q+q2/(2m), we explicitly calculate the single-particle Green's function for finite but small values of λ=q c /(2k F ). Here k F is the Fermi wave-vector, q c is the maximal momentum transfered by the interaction, and v F =k F /m is the Fermi velocity. Assuming equal forward scattering couplings g2=g4, we find that the dominant effect of the quadratic term in the energy dispersion is a renormalization of the anomalous dimension. In particular, at weak coupling the anomalous dimension is [Formula: see text], where γ is the anomalous dimension of the TLM. We also show how to treat the change of the chemical potential due to the interactions within the functional bosonization approach in arbitrary dimensions.

scholarly journals Strong magnetic fields in gauge theories

2021 ◽  
Vol 18 (2 Jul-Dec) ◽  
Author(s):  
Hugo Celso Pérez Rojas ◽  
Jorge Luis Acosta Ávalo
Keyword(s):  
Magnetic Field ◽  
Quantum Electrodynamics ◽  
Chemical Potential ◽  
Polarization Operator ◽  
Cpt Invariance ◽  
Spatial Symmetry ◽  
Photon Propagation ◽  
Self Energy ◽  
The Standard Model ◽  
The Magnetic Field

The problem of photon propagation in a medium in presence of a strong magnetic field in the frame of quantum electrodynamics is discussed in the present paper, based on previous literature in this area. The breaking of the spatial symmetry by the magnetic field determine the existence of a set of basic vectors and tensors which must satisfy the gauge and CPT invariance of quantum electrodynamics. The charge symmetric and non-symmetric cases are discussed. In the second case the Faraday effect is produced. A chiral current arises, associated to a pseudovector eigenvector ofthe polarization operator (due to the breaking of the spatial symmetry by the external magnetic field), related to the so-called axial anomaly. The path integrals and functional derivation are widely used to obtain the self-energy and vertex operators, and the Dyson equations. The inadequate introduction of a chiral chemical potential in the standard model is discussed for the Weinberg-Salam model for electroweak interactions.

Damping of spin waves in high-Tc superconductors in the spin polaron formulation

2018 ◽  
Vol 32 (15) ◽  
pp. 1850190 ◽  
Author(s):  
Perkins Jon Ong ◽  
Danilo M. Yanga
Keyword(s):  
Green’S Function ◽  
Spin Wave ◽  
Green's Function ◽  
Finite Temperature ◽  
Spin Waves ◽  
Low Frequency ◽  
Hard Core ◽  
Spin Polaron ◽  
Zero Temperature ◽  
Self Energy

The damping of spin waves in high-T[Formula: see text] superconductors is investigated in this paper. We use the spin polaron formulation in the finite temperature (Matsubara) Green’s function method in a representation, where holes are described as spinless fermions (holons) and spins as normal bosons characterized by the hard-core bosonic operators in accordance with the Holstein–Primakoff transformation. The interaction of holes with spin waves is then described by a Hamiltonian, which resembles the conventional polaron problem and came to be known as the spin polaron Hamiltonian. The rate of the damping of spin waves is then obtained from the self-energy term of the spin wave Green’s function at finite temperature. In the limit of zero temperature and low frequency, the spin wave damping was subsequently determined. We evaluated the same quantity by analytic continuation to get the zero temperature result.

GREEN'S FUNCTION MATCHING METHOD FOR REALISTIC CALCULATIONS OF INTERFACES

1985 ◽  
Vol 46 (C4) ◽  
pp. C4-321-C4-329 ◽  
Author(s):  
E. Molinari ◽  
G. B. Bachelet ◽  
M. Altarelli
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Matching Method
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