scholarly journals NNLO classical solution for Lipatov’s effective action for reggeized gluons

2019 ◽  
Vol 34 (20) ◽  
pp. 1950111
Author(s):  
S. Bondarenko ◽  
S. Pozdnyakov
Keyword(s):  
Effective Action ◽  
Equations Of Motion ◽  
The Self ◽  
Classical Solutions ◽  
Transversality Conditions ◽  
Loop Contribution ◽  
Recursive Scheme ◽  
Fermion Loop ◽  
The One ◽  
Self Consistency

We consider the formalism of small-[Formula: see text] effective action for reggeized gluons[Formula: see text] and, following the approach developed in Refs. 11–17, calculate the classical gluon field to NNLO precision with fermion loops included. It is demonstrated that for each perturbative order, the self-consistency of the equations of motion is equivalent to the transversality conditions applied to the solution of the equations, these conditions allow to construct the general recursive scheme for the solution’s calculation. The one fermion loop contribution to the classical solutions and application of the obtained results are also discussed.

THE VILKOVISKY EFFECTIVE ACTION IN THE EVEN-DIMENSIONAL QUANTUM GRAVITY

1989 ◽  
Vol 04 (07) ◽  
pp. 633-644 ◽  
Author(s):  
I. L. BUCHBINDER ◽  
E. N. KIRILLOVA ◽  
S. D. ODINTSOV
Keyword(s):  
Numerical Calculation ◽  
Effective Potential ◽  
Effective Action ◽  
Equations Of Motion ◽  
Flat Space ◽  
Einstein Gravity ◽  
Quantum Field ◽  
Dimensional Torus ◽  
Spontaneous Compactification ◽  
The One

The one-loop Vilkovisky effective potential which is not dependent on a gauge and a parametrization of quantum field, is investigated. We have considered Einstein gravity on a background manifold of (flat space) × (d−4- sphere) or × (d−4- dimensional torus ), d is even, and of R3 × (1- sphere ), where R3 is flat space. The numerical calculation for the cases R4 × Td−4 (d = 6,8,10) and R3 × S1 is done. The solution to the one-loop corrected equations of motion is found, although the spontaneous compactification is not stable in these cases.

Self-Consistent Hole Motion and Spin Excitations in A Quantum Antiferromagnet

1989 ◽  
Vol 03 (12) ◽  
pp. 1913-1932 ◽  
Author(s):  
Z.B. Su ◽  
Y.M. Li ◽  
W.Y. Lai ◽  
L. Yu
Keyword(s):  
The Self ◽  
Spin Excitation ◽  
Spin Correlations ◽  
Local Distortion ◽  
Spin Excitations ◽  
Self Consistent ◽  
The Stability ◽  
The One ◽  
Quantum Antiferromagnet ◽  
Self Consistency

A new quantum Bogoliubov-de Gennes (BdeG) formalism is developed to study the self-consistent motion of holes and spin excitations in a quantum antiferromagnet within the generalized t-J model. On the one hand, the effects of local distortion of spin configurations and the renormalization of the hole motion due to virtual excitations of the distorted spin background are treated on an equal footing to obtain the hole wave function and its spectrum, as well as the effective mass for a propagating hole. On the other hand, the change of the spin excitation spectrum and the spin correlations due to the presence of dynamical holes are studied within the same adiabatic approximation. The stability of the hole states with respect to such changes justifies the self-consistency of the proposed formalism.

scholarly journals Internal structure of a partially ionized heavy ion. Isolated ion model

1989 ◽  
Vol 7 (3) ◽  
pp. 581-588
Author(s):  
Y. Furutani ◽  
H. Totsuji ◽  
K. Mima ◽  
H. Takabe
Keyword(s):  
Density Functional ◽  
Principal Quantum Number ◽  
Heavy Ion ◽  
The Self ◽  
Functional Theory ◽  
The Density Functional Theory ◽  
Partially Ionized ◽  
The One ◽  
Bound Electrons ◽  
Self Consistency

An effective potential and an associated electron density in a partially ionized high-Z ion are evaluated within the framework of the Thomas–Fermi–Dirac–Weizsäcker statistical model of atoms. The results are then injected as an initial input into the one-electron Schrödinger equation, a procedure based on the density functional theory. The self-consistency between the two approaches is examined. For a partially ionized ion at zero and finite temperatures, a number of bound electrons is counted by a sum over the principal quantum number, which diverges due to the contribution from shallow bound (Rydberg) levels. A truncation of this sum is devised by application of the Planck–Larkin scheme to the Fermi distribution

scholarly journals On the cosmological solutions in Weyl geometry

2021 ◽  
Vol 2021 (11) ◽  
pp. 053
Author(s):  
V.A. Berezin ◽  
V.I. Dokuchaev ◽  
Yu. N. Eroshenko ◽  
A.L. Smirnov
Keyword(s):  
Equations Of Motion ◽  
Consistency Condition ◽  
Conformal Factor ◽  
Cosmological Term ◽  
The Self ◽  
Curvature Scalar ◽  
Weyl Geometry ◽  
Cosmological Solutions ◽  
Complete Set ◽  
Self Consistency

Abstract We investigated the possibility of construction the homogeneous and isotropic cosmological solutions in Weyl geometry. We derived the self-consistency condition which ensures the conformal invariance of the complete set of equations of motion. There is the special gauge in choosing the conformal factor when the Weyl vector equals zero. In this gauge we found new vacuum cosmological solutions absent in General Relativity. Also, we found new solution in Weyl geometry for the radiation dominated universe with the cosmological term, corresponding to the constant curvature scalar in our special gauge. Possible relation of our results to the understanding both dark matter and dark energy is discussed.

THE SELF-CONSISTENT MATHIEU PROBLEM

1964 ◽  
Vol 42 (2) ◽  
pp. 329-348
Author(s):  
J. Vail
Keyword(s):  
Fermi Surface ◽  
Energy Gap ◽  
Mass Density ◽  
Mathematical Problem ◽  
Consistency Condition ◽  
The Self ◽  
Particle Spectrum ◽  
Self Consistent ◽  
The One ◽  
Self Consistency

The one-dimensional many-fermion system with weak attractive interaction, which is known to have self-consistent Hartree solutions corresponding to either uniform or spatially periodic mass density, is discussed as a physical model and as a mathematical problem. The Hartree problem for sinusoidal mass density leads to the self-consistent Mathieu problem, which is analyzed for the case where the first Brillouin zone boundary does not necessarily coincide with the Fermi surface (no energy gap between ground and single-particle excited states). The Mathieu equation is solved in the weak-binding approximation in the vicinity of the two lowest band gaps, the self-consistency condition is analyzed in detail, and the N-particle energy is calculated for various cases. The results suggest that the periodic state will not have lower energy than the uniform state unless the first gap in the one-particle spectrum lies near the Fermi surface. The fact that self-consistency can be obtained for a considerable range of periodicities suggests that the periodic solutions may be of importance in some many-fermion systems.

scholarly journals The construction of RFT from the Lipatov’s effective action

2018 ◽  
Vol 191 ◽  
pp. 04008
Author(s):  
Sergey Bondarenko ◽  
Semyon Pozdnyakov
Keyword(s):  
Perturbation Theory ◽  
Effective Action ◽  
Equations Of Motion ◽  
Classical Solutions ◽  
Small X ◽  
Solutions Of Equations

We consider the formalism of small-x effective action for reggeized gluons, see [1-3]. We construct the perturbation theory based on the knowledge of the classical solutions of equations of motion (written with NNLO precision) and loops contributions to the effective action. Applications of the obtained results are also discussed.

FLAT CURRENTS OF A GREEN–SCHWARZ SIGMA MODEL ON SUPERCOSET TARGETS WITH ℤ4m GRADING

2008 ◽  
Vol 23 (25) ◽  
pp. 4219-4243 ◽  
Author(s):  
SAN-MIN KE ◽  
KANG-JIE SHI ◽  
CHUN WANG
Keyword(s):  
Sigma Models ◽  
Sigma Model ◽  
Equations Of Motion ◽  
Parameter Family ◽  
Target Space ◽  
Suitable Choice ◽  
Kinetic Term ◽  
Classical Solutions ◽  
Virasoro Constraint ◽  
The One

We construct actions of Green–Schwarz sigma models on supercoset targets with ℤ4m grading whose kinetic terms only contain the target-space bosons. We consider a simple case of such kinetic term and show that there exist a one-parameter family of flat currents of the model by requiring a suitable choice of the Wess–Zumino term. Such flat currents naturally lead to a hierarchy of classical conserved nonlocal charges. We also find that the one-parameter flat currents of the model satisfy equations of motion and the Virasoro constraint. This implies that one can generate a series of classical solutions from an existing one. When m = 1, our model coincides with the well-known model given by Metsaev and Tseytlin on a supercoset PSU (2, 2|4)/[ SO (4, 1) × SO (5)] and similar models.

Stories and the Self

2020 ◽  
Vol 32 (2) ◽  
pp. 47-58 ◽  
Author(s):  
Stefan Krause ◽  
Markus Appel
Keyword(s):  
Meta Analysis ◽  
The Self ◽  
The Other ◽  
Lower Degree ◽  
Contrast Effects ◽  
Self Perception ◽  
Self Perceptions ◽  
Other Hand ◽  
The One ◽  
Implicit And Explicit

Abstract. Two experiments examined the influence of stories on recipients’ self-perceptions. Extending prior theory and research, our focus was on assimilation effects (i.e., changes in self-perception in line with a protagonist’s traits) as well as on contrast effects (i.e., changes in self-perception in contrast to a protagonist’s traits). In Experiment 1 ( N = 113), implicit and explicit conscientiousness were assessed after participants read a story about either a diligent or a negligent student. Moderation analyses showed that highly transported participants and participants with lower counterarguing scores assimilate the depicted traits of a story protagonist, as indicated by explicit, self-reported conscientiousness ratings. Participants, who were more critical toward a story (i.e., higher counterarguing) and with a lower degree of transportation, showed contrast effects. In Experiment 2 ( N = 103), we manipulated transportation and counterarguing, but we could not identify an effect on participants’ self-ascribed level of conscientiousness. A mini meta-analysis across both experiments revealed significant positive overall associations between transportation and counterarguing on the one hand and story-consistent self-reported conscientiousness on the other hand.

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