Gauge Nambu-Jona-Lasinio model as a low-energy approximation of QCD

1992 ◽  
Vol 93 (1) ◽  
pp. 1126-1137 ◽  
Author(s):  
A. A. Andrianov ◽  
V. A. Andrianov
Keyword(s):  
Low Energy ◽  
Energy Approximation

Complex geometry of space–time motivated by gravity’s rainbow

2019 ◽  
Vol 97 (5) ◽  
pp. 558-561
Author(s):  
Faizan Bhat ◽  
Mussadiq H. Qureshi ◽  
Manzoor A. Malik ◽  
Asif Iqbal
Keyword(s):  
Imaginary Part ◽  
Complex Space ◽  
Complex Geometry ◽  
Planck Scale ◽  
Space Time ◽  
Low Energy ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Energy Approximation ◽  
Planck Energy

In this paper, we generalize the formalism of gravity’s rainbow to complex space–time. The resulting geometry depends on the energy of the probe in such a way that the usual real manifold is the low energy approximation of the Planck scale geometry of space–time. So, our formalism agrees with all the observational data about our space–time being real, as at the scale these experiments are preformed, the imaginary part of the geometry is suppressed by Planck energy. However, the imaginary part of the geometry becomes important near the Planck energy, and so it cannot be neglected near the Planck scale. So, the Planck scale geometry of space–time is described by a complex manifold.

CHIRAL PERTURBATION THEORY AT THE QUARK LEVEL

1992 ◽  
Vol 07 (29) ◽  
pp. 7305-7338 ◽  
Author(s):  
A.N. IVANOV ◽  
M. NAGY ◽  
N.I. TROITSKAYA
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Final State Interaction ◽  
Low Energy ◽  
Chiral Perturbation ◽  
Final State ◽  
Large N ◽  
Quark Level ◽  
Energy Approximation

The chiral perturbation theory is developed at the quark level within the extended Nambu-Jona-Lasinio model, which we used for the low-energy approximation of QCD in the leading order of the large N expansion. In terms of constituent-quark loop diagrams we analyze all of the main low-energy effects caused by the first order corrections in the current-quark-mass expansions. For the correct description of the η→3π decays we confirm the important role of the final-state interaction quoted by Gasser and Leutwyler.

scholarly journals The Dual QCD @ Work: 2018

2018 ◽  
Vol 192 ◽  
pp. 00048
Author(s):  
Andrzej J. Buras
Keyword(s):  
Lattice Qcd ◽  
New Physics ◽  
Low Energy ◽  
Effective Theory ◽  
Matrix Elements ◽  
General Study ◽  
The Road ◽  
The Past ◽  
Recent Developments ◽  
Energy Approximation

The Dual QCD (DQCD) framework, based on the ideas of ’t Hooft and Witten, and developed by Bill Bardeen, Jean-Marc Gérard and myself in the 1980s is not QCD, a theory of quarks and gluons, but a successful low energy approximation of it when applied to K → ππ decays and K¯0 - K0 mixing. After years of silence, starting with 2014, this framework has been further developed in order to improve the SM prediction for the ratio ε'/ε, the ΔI = 1/2 rule and B^K. Most importantly, this year it has been used for the calculation of all K → ππ hadronic matrix elements of BSM operators which opened the road for the general study of ε'/ε in the context of the SM effective theory (SMEFT). This talk summarizes briefly the past successes of this framework and discusses recent developments which lead to a master formula for ε'/ε valid in any extension of the SM. This formula should facilitate the search for new physics responsible for the ε'/ε anomaly hinted by 2015 results from lattice QCD and DQCD.

scholarly journals LOW ENERGY DYNAMICS OF MONOPOLES IN N=2 SYM WITH MATTER

1996 ◽  
Vol 11 (05) ◽  
pp. 367-379 ◽  
Author(s):  
MARTIN CEDERWALL ◽  
GABRIELE FERRETTI ◽  
BENGT E.W. NILSSON ◽  
PER SALOMONSON
Keyword(s):  
Gauge Group ◽  
Time Evolution ◽  
Low Energy ◽  
Quantum Mechanical ◽  
Fundamental Representation ◽  
Yang Mills ◽  
Energy Dynamics ◽  
Mechanical Models ◽  
Energy Approximation

We derive, for N=2 super-Yang-Mills with gauge group SU(2) and massless matter, the supersymmetric quantum mechanical models describing the time evolution of multimonopole configurations in the low energy approximation. This is a first step towards identifying the solitonic states mapped to fundamental excitations by duality in the model with four hypermultiplets in the fundamental representation.

scholarly journals Vacuons and Quasi-phonons: The Hidden Side of Bogoliubov Collective Excitations

2018 ◽  
Vol 2 (1) ◽  
Keyword(s):  
Activation Energy ◽  
Low Energy ◽  
Collective Excitations ◽  
Cooper Pairs ◽  
Weakly Interacting ◽  
Energy Approximation

In a series of papers [1, 2, 3], the author exactly diagonalized the truncated Hamiltonian Hc , proposed by Bogoliubov [4, 5], as a low energy approximation for the weakly interacting boson gas. In addition to the well know collective excitations (CEs) resulting from the Bogoliubov Canonic Approximation (BCA) [6, 7], and denoted as quasi-phonons (QPs), the exact eigenstates of Hc exhibit a new kind of CEs (the `hidden side' which the title alludes to), that we denote as vacuons. Those CEs are created/annihilated by adsorp-tion/emission of a quantum of energy twice as large as the activation energy of a QP. Being momentless, they are reminiscent of Cooper pairs of bosons, with opposite moments. The e_ects of the vacuons on the dynamics of the gas are discussed, with their possible exper-imental evidence.

MOST EFFECTIVE ENERGY IN THERMONUCLEAR REACTIONS OF SOME LIGHT NUCLEI

2009 ◽  
Vol 24 (11n13) ◽  
pp. 1071-1075 ◽  
Author(s):  
NORHASLIZA YUSOF ◽  
HASAN ABU KASSIM
Keyword(s):  
Reaction Rates ◽  
Tunneling Probability ◽  
Low Energy ◽  
Light Nuclei ◽  
Effective Energy ◽  
Proton Proton ◽  
Thermonuclear Reactions ◽  
Low Energies ◽  
Advanced Stages ◽  
Energy Approximation

Gamow peak describes the most effective energy E0 for a nonresonant nuclear reaction to occur. At astrophysical low energies much lower than the Coulomb barrier, the ability of the interacting nuclei to tunnel through the barrier depends on the primitive probability which is proportional to the Gamow factor. The reaction rate will then be determined by the primitive tunneling probability and the astrophysical S-factor. In the literature, tables on the thermonuclear reaction rates are compiled for many reactions of interest in astrophysics by using this low energy approximation. In this paper, we describe a method to obtain E0 by using the exact tunneling probability that is valid for higher energy. We illustrate the method by using three major reactions in the proton-proton chain, 3 He (3 He , 2p)4 He , 3 He (4 He , γ)7 Be and 7 Be (γ, p)8 B . In all cases, E0 starts to divert to lower values than the low energy approximation limit at around T = 109 K and hence generate lower reaction rates. This result might be significantly important for the thermonuclear reactions in the advanced stages of the evolution of massive stars.

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