scholarly journals Quark Self-Energy and Condensates in NJL Model with External Magnetic Field

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1410
Author(s):  
Juan Liu ◽  
Yilun Du ◽  
Song Shi
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Chemical Potential ◽  
Quark Propagator ◽  
The Self ◽  
Vacuum Condensate ◽  
Spin Magnetic Moment ◽  
Self Energy ◽  
Njl Model ◽  
Self Consistent

In a one-flavor NJL model with a finite temperature, chemical potential, and external magnetic field, the self-energy of the quark propagator contains more condensates besides the vacuum condensate. We use Fierz identity to identify the self-energy and propose a self-consistent analysis to simplify it. It turns out that these condensates are related to the chiral separation effect and spin magnetic moment.

scholarly journals Self-Consistent Calculation of Particle-Hole Diagrams on the Matsubara Frequency: Flex Approximation

1997 ◽  
Vol 08 (05) ◽  
pp. 1145-1158
Author(s):  
J. J. Rodríguez-Núñez ◽  
S. Schafroth
Keyword(s):  
Hubbard Model ◽  
Imaginary Part ◽  
Chemical Potential ◽  
Order Approximation ◽  
The Self ◽  
Green Functions ◽  
Matsubara Frequency ◽  
Self Energy ◽  
Peak Structure ◽  
Self Consistent

We implement the numerical method of summing Green function diagrams on the Matsubara frequency axis for the fluctuation exchange (FLEX) approximation. Our method has previously been applied to the attractive Hubbard model for low density. Here we apply our numerical algorithm to the Hubbard model close to half filling (ρ =0.40), and for T/t = 0.03, in order to study the dynamics of one- and two-particle Green functions. For the values of the chosen parameters we see the formation of three branches which we associate with the two-peak structure in the imaginary part of the self-energy. From the imaginary part of the self-energy we conclude that our system is a Fermi liquid (for the temperature investigated here), since Im Σ( k , ω) ≈ w2 around the chemical potential. We have compared our fully self-consistent FLEX solutions with a lower order approximation where the internal Green functions are approximated by free Green functions. These two approches, i.e., the fully self-consistent and the non-self-consistent ones give different results for the parameters considered here. However, they have similar global results for small densities.

scholarly journals Thermal conductivity in 3D NJL model under external magnetic field

2003 ◽  
Vol 33 (4) ◽  
pp. 397-411 ◽  
Author(s):  
E. J. Ferrer ◽  
V. P. Gusynin ◽  
V. de la Incera
Keyword(s):  
Magnetic Field ◽  
Thermal Conductivity ◽  
External Magnetic Field ◽  
Njl Model

Microstructural aspects of the self-propagating high temperature synthesis of hexagonal barium ferrites in an external magnetic field

2000 ◽  
Vol 10 (8) ◽  
pp. 1925-1932 ◽  
Author(s):  
Louise Affleck ◽  
Marco D. Aguas ◽  
Ivan P. Parkin ◽  
Quentin A. Pankhurst ◽  
Maxim V. Kuznetsov
Keyword(s):  
Magnetic Field ◽  
High Temperature ◽  
External Magnetic Field ◽  
The Self ◽  
Temperature Synthesis ◽  
High Temperature Synthesis ◽  
Barium Ferrites

scholarly journals 1-Loop mass generation by a constant external magnetic field for an electron propagating in a thin medium

2018 ◽  
Vol 32 (10) ◽  
pp. 1850114
Author(s):  
B. Machet
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Landau Level ◽  
Mass Formula ◽  
Mass Shell ◽  
Mass Generation ◽  
Self Energy ◽  
Lowest Landau Level ◽  
Dirac Electron ◽  
Constant External Magnetic Field

The 1-loop self-energy of a Dirac electron of mass [Formula: see text] propagating in a thin medium simulating graphene in an external magnetic field [Formula: see text] is investigated in quantum field theory. Equivalence is shown with the so-called reduced QED[Formula: see text] on a 2-brane. Schwinger-like methods are used to calculate the self-mass [Formula: see text] of the electron when it lies in the lowest Landau level. Unlike in standard QED[Formula: see text], it does not vanish at the limit [Formula: see text]: [Formula: see text] on-mass-shell renormalization conditions (with [Formula: see text]); all Landau levels of the virtual electron are taken into account and are implemented. Restricting to the sole lowest Landau level of the virtual electron is explicitly shown to be inadequate. Resummations at higher orders lie beyond the scope of this work.

Chiral condensate of cold dense quark matter with external magnetic field

2020 ◽  
Vol 35 (19) ◽  
pp. 2050160
Author(s):  
Song Shi ◽  
Juan Liu
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
External Magnetic Field ◽  
Quark Matter ◽  
Chemical Potential ◽  
Field Approximation ◽  
Chiral Condensate ◽  
Mean Field Approximation ◽  
Dynamical Mass ◽  
Dense Quark Matter

At zero temperature and finite chemical potential, the gap equation of cold dense quark matter under external magnetic field is studied with NJL model in the mean-field approximation. By introducing new methods, it is found that the Nambu phase has sophisticated structures which have not been studied before. As a consequence, the phase diagram is expanded and divided into five areas, in each area the condensate has unique behaviors with chemical potential varying. Furthermore, the expanded phase diagram is used to predict the order of phase transition between the Nambu phase and the Wigner phase, it can also be used to explain the relations of dynamical mass and chemical potential. Meanwhile, the metastable states and cascade effect of dynamical mass are studied in this paper.

Effect of obliquely external magnetic field on the intense laser pulse propagating in plasma medium

2020 ◽  
Vol 34 (07) ◽  
pp. 2050044
Author(s):  
Mehdi Abedi-Varaki
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Laser Pulse ◽  
Magnetoactive Plasma ◽  
Spot Size ◽  
The Self ◽  
Intense Laser ◽  
Intense Laser Pulse ◽  
Laser Spot Size ◽  
Self Focusing

In this paper, self-focusing of intense laser pulse propagating along the obliquely external magnetic field on the collisional magnetoactive plasma by using the perturbation theory have been studied. The wave equation describing the interaction of intense laser pulse with collisional magnetoactive plasma is derived. In addition, employing source-dependent expansion (SDE) method, the analysis of the laser spot-size is discussed. It is shown that with increasing of the angle in obliquely external magnetic field, the spot-size of laser pulse decreases and as a result laser pulse becomes more focused. Furthermore, it is concluded that the self-focusing quality of the laser pulse has been enhanced due to the presence of obliquely external magnetic field in the collisional magnetoactive plasma. Besides, it is seen that with increasing of [Formula: see text], the laser spot-size reduces and subsequently the self-focusing of the laser pulse in plasma enhances. Moreover, it is found that changing the collision effect in the magnetoactive plasma leads to increases of self-focusing properties.

Spin radiation effects in the BMT model of spinning charge

2014 ◽  
Vol 29 (31) ◽  
pp. 1450186 ◽  
Author(s):  
S. L. Lebedev
Keyword(s):  
Imaginary Part ◽  
Radiation Effects ◽  
Degrees Of Freedom ◽  
The Self ◽  
Spin Magnetic Moment ◽  
Self Energy ◽  
Radiation Processes ◽  
Nonzero Spin ◽  
Derivatives Of ◽  
Spin Contribution

The radiation processes emerging as a result of interaction between spin and orbit degrees of freedom of spinning charge are investigated with the use of the Bargmann–Michel–Telegdi (BMT) model. The spin contribution to the self-energy of the ultrarelativistic particle is imaginary and proportional to invariant constructed from the derivatives of the worldline and from the spin. This invariant determines up to negative numerical factor of the QED spin contribution to the imaginary part of the mass shift (MS). Particular cases of crossed, electric and magnetic external fields are considered in detail. The influence of an ideal boundary upon the self-energy of the particle is analyzed for the crossed field case. In the presence of the "mirror" the imaginary part of the MS gets an addition and the nonzero spin dependent real part appears, both however giving the small corrections to no-boundary MS. An alternative method to obtain the spin magnetic moment correction to the power of synchrotron radiation entails in generalization of the result known for the planar motion. Special attention is given to disagreement between classical and quantum pictures of spin radiation.

scholarly journals Ferro-Self-Assembly: Magnetic and Electrochemical Adaptation of a Multiresponsive Zwitterionic Metalloamphiphile Showing a Shape-Hysteresis Effect

2020 ◽  
Author(s):  
Stefan Bitter ◽  
Moritz Schlötter ◽  
Markus Schilling ◽  
Rainer Winter ◽  
Sebastian Polarz
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Self Assembly ◽  
Hysteresis Effect ◽  
The Self ◽  
Stimuli Responsive ◽  
Tubular Aggregates ◽  
Optical Birefringence ◽  
Sufficient Concentration

We report on a novel multi-stimuli-responsive amphiphile, 1-(<i>Z</i>)-heptenyl-1’-dimethylammonium-methyl-(3-sulfopropyl)ferrocene<b> </b>(<b>6</b>), whose self-assembly properties can be altered by three different stimuli, namely: (i) the addition of external salts which serve to unfold the sultone headgroup, thus triggering self-assembly of <b>6</b> into vesicles; (ii) oxidation to <b>6<sup>+</sup></b>, which changes the lipophilic ferrocene to a hydrophilic ferrocenium entity, thereby broadening the size-distribution of the aggregates; and (iii) exposition of <b>6<sup>+</sup> </b>to an external magnetic field of 0.8 T. Under thease conditions and at sufficient concentration, <b>6</b><sup><b>+</b> </sup>forms large, tubular aggregates with lengths of up to 15 µm, which persist for over 5 min after the field is switched off again. <b>6<sup>+</sup></b> is thus the first amphiphile to exhibit a shape-hysteresis effect. The self-assembly/disassembly processes and their dynamics were studied live and in situ by optical birefringence measurements coupled to light scattering. <br>

scholarly journals Mass Spectra and Decay of Mesons under Strong External Magnetic Field

2021 ◽  
Author(s):  
Shuyun Yang ◽  
Meng Jin ◽  
DeFu Hou
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Mass Spectra ◽  
Chemical Potential ◽  
Energy Gap ◽  
Random Phase ◽  
High Energy ◽  
Decay Process ◽  
Triangle Diagram ◽  
Magnetic Catalysis

Abstract We study the mass spectra and decay process of σ and π0 mesons under strong external magnetic field. To achieve this goal, we deduce the thermodynamic potential in a two-flavor, hot and magnetized Nambu-Jona-Lasinio model. We calculate the energy gap equation through the random phase approximation (RPA). Then we use Ritus method to calculate the decay triangle diagram and self-energy in the presence of a constant magnetic field B. Our results indicate that the magnetic field has little influence on the mass of π0 at low temperatures. While for quarks and σ mesons, their mass changes obviously, which reflects the influence of magnetic catalysis (MC). The presence of magnetic field accelerates the decay of the meson while the presence of chemical potential will decrease the decay process. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

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