scholarly journals ON THE NONRELATIVISTIC LIMIT OF THE φ4 THEORY IN 2+1 DIMENSIONS

1996 ◽  
Vol 11 (36) ◽  
pp. 2825-2836 ◽  
Author(s):  
M. GOMES ◽  
J.M.C. MALBOUISSON ◽  
A.J. DA SILVA
Keyword(s):  
Quantum Theory ◽  
Scalar Field ◽  
Scattering Amplitude ◽  
Nonrelativistic Limit ◽  
Low Energy ◽  
The Self ◽  
Energy Correction ◽  
Real Scalar ◽  
Self Energy

We study the nonrelativistic limit of the quantum theory of a real scalar field with quartic self-interaction. The two-body scattering amplitude is written in such way as to separate the contributions of high and low energy intermediary states. From this result and the two-loop computation of the self-energy correction, we determine an effective nonrelativistic action.

STRONG SU(2) BREAKING AND MASS SPLITTINGS IN PSEUDOSCALAR MESONS

1996 ◽  
Vol 11 (29) ◽  
pp. 5245-5259 ◽  
Author(s):  
A. N. MITRA
Keyword(s):  
Mass Difference ◽  
Dynamical Symmetry ◽  
Quark Condensate ◽  
Low Energy ◽  
The Self ◽  
Quark Loop ◽  
Self Energy ◽  
A Value ◽  
Pseudoscalar Mesons ◽  
Vector Exchange

The mass splittings within the SU(2) multiplets of pseudoscalar mesons (π, K, D, B) are used as a laboratory to determine the mass difference between d and u quarks (current), through the simplest (two-point) quark-loop diagrams for the self-energies of the corresponding hadrons, together with the associated quark-condensate diagrams within the loops. The second-order e.m. correction is also calculated with a photon line joining the two opposite quark lines in the self-energy loop. The basic ingredient is a hadron–quark-vertex function generated from a vector-exchange-like (chirally invariant) four-fermion Lagrangian (with current quarks) under dynamical symmetry breaking (DχSB), precalibrated to spectroscopy and other important low-energy amplitudes. The results which are expressed as proportional to the u−d mass difference δc, but are otherwise free from any adjustable parameters, reproduce in a rather accurate way all the SU(2) mass differences (from kaon to bottom) with δc = 4.0 MeV, when all the three self-energy diagrams are included. The pion receives only e.m. contributions with a value 5.24 MeV.

scholarly journals The Lorentz-violating real scalar field at thermal equilibrium

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
A. R. Aguirre ◽  
G. Flores-Hidalgo ◽  
R. G. Rana ◽  
E. S. Souza
Keyword(s):  
Scalar Field ◽  
Thermal Equilibrium ◽  
Tensor Field ◽  
Lorentz Violation ◽  
The Self ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Exact Results ◽  
Coupling Constant ◽  
Real Scalar

AbstractIn this paper we study Lorentz-violation (LV) effects on the thermodynamics properties of a real scalar field theory due to the presence of a constant background tensor field. In particular, we analyse and compute explicitly the deviations of the internal energy, pressure, and entropy of the system at thermal equilibrium due to the LV contributions. For the free massless scalar field we obtain exact results, whereas for the massive case we perform approximated calculations. Finally, we consider the self interacting $$\phi ^4$$ ϕ 4 theory, and perform perturbative expansions in the coupling constant for obtaining relevant thermodynamics quantities.

Low energy impurity kink in the normal and anomalous self-energies in Bi-cuprate superconductors

2015 ◽  
Vol 29 (25n26) ◽  
pp. 1542005
Author(s):  
Jin Mo Bok ◽  
Jong Ju Bae ◽  
Seung Hwan Hong ◽  
X. J. Zhou ◽  
Han-Yong Choi
Keyword(s):  
Cuprate Superconductors ◽  
Energy Analysis ◽  
Energy Gap ◽  
Low Energy ◽  
The Self ◽  
Energy Term ◽  
Impurity Effects ◽  
Self Energy ◽  
Superconducting Energy Gap ◽  
Arpes Data

The sharp low energy kink (LEK) in quasiparticle (qp) spectra well below the superconducting energy gap observed in the angle-resolved photo-emission spectroscopy (ARPES) of the Bi-cuprates may be understood in terms of the forward scattering impurities located off the Cu–O planes. The relevance of the idea has been established by comparing the calculated normal self-energy from the off-plane impurity effects and the extracted one from the self-energy analysis of [Formula: see text] (Bi2212) ARPES data in Hong et al. [Phys. Rev. Lett. 113, 057001 (2014)]. In addition to the explanation of the LEK, this is a necessary step to analyze ARPES data, to reveal the spectrum of fluctuations promoting superconductivity. We also present the extracted anomalous self-energy from the self-energy analysis, which is its first experimental determination as far as we are aware of. The extracted anomalous self-energy and its implications are discussed in comparison with the calculated impurity self-energy term.

scholarly journals SELF-INTERACTION FOR PARTICLES IN THE WORMHOLE SPACE-TIMES

2011 ◽  
Vol 03 ◽  
pp. 354-363
Author(s):  
NAIL KHUSNUTDINOV
Keyword(s):  
Scalar Field ◽  
Electric Charge ◽  
Scalar Particle ◽  
The Self ◽  
Massive Scalar ◽  
Minimal Coupling ◽  
Massive Scalar Field ◽  
Arbitrary Profile ◽  
Self Energy ◽  
Self Force

The self-energy and self-force for particles with electric and scalar charges at rest in the space-time of massless and massive wormholes are considered. The particle with electric charge is always attracted to wormhole throat for arbitrary profile of the throat. The self-force for scalar particle shows different behavior depending on the non-minimal coupling. The self-force for massive scalar field is localized close to the throat of the wormhole.

Level dependence of the self-energy correction to the Hartree-Fock single-particle energies in 208Pb

1984 ◽  
Vol 140 (3-4) ◽  
pp. 163-166 ◽  
Author(s):  
P.F. Bortignon ◽  
R.A. Broglia ◽  
C.H. Dasso ◽  
C. Mahaux
Keyword(s):  
Single Particle ◽  
The Self ◽  
Energy Correction ◽  
Hartree Fock ◽  
Self Energy

The uncertainty of the reference frame in quantum mechanics

1939 ◽  
Vol 35 (2) ◽  
pp. 195-204
Author(s):  
H. C. Corben
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Reference Frame ◽  
High Energy ◽  
The Self ◽  
Self Energy ◽  
High Energy Electrons

It is shown that, if account is taken of the uncertainty of position and momentum of the reference origin with respect to which observations are made, the self-energy and transverse self-energy of the electron become finite and the quantum theory is considerably modified for high-energy electrons and quanta.

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