scholarly journals (Phenomenology/Lattice-Compatible) SU(3) MχPT HD up to $$ \mathcal{O} $$(p4) and the $$ \mathcal{O} $$(R4)-Large-N Connection

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Vikas Yadav ◽  
Gopal Yadav ◽  
Aalok Misra
Keyword(s):  
Experimental Data ◽  
String Theory ◽  
Low Temperatures ◽  
Chiral Limit ◽  
Low Energy ◽  
Coupling Constants ◽  
Effective Theory ◽  
Higher Derivative ◽  
Large N

Abstract Obtaining the values of the coupling constants of the low energy effective theory corresponding to QCD, compatible with experimental data, even in the (vector) mesonic sector from (the $$ \mathcal{M} $$ M -theory uplift of) a UV-complete string theory dual, has thus far been missing in the literature. We take the first step in this direction by obtaining the values of the coupling constants of the $$ \mathcal{O} $$ O (p4) χPT Lagrangian in the chiral limit involving the NGBs and ρ meson (and its flavor partners) from the $$ \mathcal{M} $$ M -theory/type IIA dual of large-N thermal QCD, inclusive of the $$ \mathcal{O} $$ O (R4) corrections. We observe that ensuring compatibility with phenomenological/lattice results (the values) as given in [1], requires a relationship relating the $$ \mathcal{O} $$ O (R4) corrections and large-N suppression. In other words, QCD demands that the higher derivative corrections and the large-N suppressed corrections in its M/string theory dual, are related. As a bonus, we explicitly show that the $$ \mathcal{O} $$ O (R4) corrections in the UV to the $$ \mathcal{M} $$ M -theory uplift of the type IIB dual of large-N thermal QCD at low temperatures, can be consistently set to be vanishingly small.

scholarly journals PREDICTION OF BEAUTY PARTICLE MASSES WITH THE HEAVY QUARK EFFECTIVE THEORY (II)

1995 ◽  
Vol 10 (06) ◽  
pp. 801-806 ◽  
Author(s):  
U. AGLIETTI
Keyword(s):  
Experimental Data ◽  
Quantitative Estimate ◽  
Low Energy ◽  
Effective Theory ◽  
Recent Experimental Data ◽  
Heavy Quark Effective Theory ◽  
Static Theory ◽  
Charm Hadron ◽  
Hadron Masses ◽  
The Masses

The effective theory for heavy quarks has additional symmetries with respect to QCD, which relate charm and beauty hadron masses. Assuming the spectrum of charmed particles, we predicted in a previous work the masses of some beauty particles. The predictions of the Λb mass, M (Λb) = 5630 MeV , and of the Bs mass, M (Bs) = 5379 MeV , are in agreement with present experimental data. We continue this work using recent experimental data on charm hadron masses. The results are: M (Σb) = 5822±6 MeV , [Formula: see text], M (Ωb) = 6080±7 MeV , [Formula: see text], [Formula: see text], [Formula: see text]. When experimental data for beauty hadron masses are available, a comparison with the theoretical values allows a quantitative estimate of the corrections to the static theory, which contain information on hadron dynamics at low energy.

scholarly journals EMERGENCE OF GRAVITY FROM INTERACTING SIMPLICES

2009 ◽  
Vol 24 (23) ◽  
pp. 4271-4286 ◽  
Author(s):  
SUNG-SIK LEE
Keyword(s):  
Statistical Model ◽  
Gravitational Theory ◽  
Low Energy ◽  
Target Space ◽  
Effective Theory ◽  
Coulomb Phase ◽  
Space And Time ◽  
Strongly Interacting ◽  
Large N ◽  
Euclidean Signature

We consider a statistical model of interacting 4-simplices fluctuating in an N-dimensional target space. We argue that a gravitational theory may arise as a low energy effective theory in a strongly interacting phase where the simplices form clusters with an emergent space and time with the Euclidean signature. In the large N limit, two possible phases are discussed, that is, "gravitational Coulomb phase" and "gravitational Higgs phase."

Kl4 Decays

2001 ◽  
Vol 16 (supp01a) ◽  
pp. 172-174
Author(s):  
Bing An Li
Keyword(s):  
Chiral Limit ◽  
Axial Vector ◽  
Form Factors ◽  
Vector Current ◽  
Decay Rates ◽  
Adjustable Parameter ◽  
Axial Vector Current ◽  
Effective Theory ◽  
Decay Modes ◽  
Large N

An effective theory of large NC QCD of mesons has been used to study six Kl4 decay modes. PCAC is satisfied. A relationship between three form factors of axial-vector current has been found. ρ → ππ plays important role. the decay rates are calculated in the chiral limit. There is no adjustable parameter.

scholarly journals ON THE EXISTENCE OF NONTRIVIAL FIXED POINTS IN LARGE-N GAUGE THEORY IN MORE THAN FOUR DIMENSIONS

1996 ◽  
Vol 11 (39n40) ◽  
pp. 3049-3060 ◽  
Author(s):  
JUN NISHIMURA
Keyword(s):  
Phase Diagram ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Gauge Theory ◽  
String Theory ◽  
Fixed Points ◽  
Coupling Constants ◽  
Four Dimensions ◽  
Large N ◽  
Six Dimensions

Inspired by a possible relation between large-N gauge theory and string theory, we search for nontrivial fixed points in large-N gauge theory in more than four dimensions. We study large-N gauge theory through Monte–Carlo simulation of the twisted Eguchi–Kawai model in six dimensions as well as in four dimensions. The phase diagram of the system with the two coupling constants which correspond to the standard plaquette action and the adjoint term has been explored.

scholarly journals STRING FIELD THEORY OF TWO-DIMENSIONAL QCD ON A CYLINDER: A REALIZATION OF W∞ CURRENT ALGEBRA

1995 ◽  
Vol 10 (15) ◽  
pp. 2189-2223 ◽  
Author(s):  
AVINASH DHAR ◽  
PORUS LAKDAWALA ◽  
GAUTAM MANDAL ◽  
SPENTA R. WADIA
Keyword(s):  
String Theory ◽  
Current Algebra ◽  
Degrees Of Freedom ◽  
Open String ◽  
Effective Theory ◽  
Quantum Mechanical ◽  
Two Dimensional ◽  
Large N ◽  
Glueball Spectrum ◽  
Effective Description

We consider two-dimensional QCD on a cylinder, where space is a circle of length L. We formulate the theory in terms of gauge-invariant gluon operators and multiple-winding meson (open string) operators. The meson bilocal operators satisfy a W∞ current algebra. The gluon sector (closed strings) contains purely quantum-mechanical degrees of freedom. The description of this sector in terms of nonrelativistic fermions leads to a W∞ algebra. The spectrum of excitations of the full theory is therefore organized according to two different algebras: a wedge subalgebra of W∞ current algebra in the meson sector and a wedge subalgebra of W∞ algebra in the glueball sector. In the large N limit the theory becomes semiclassical and an effective description for the gluon degrees of freedom can be obtained. We have solved the effective theory of the gluons in the small L limit. We get a glueball spectrum which coincides with the “discrete states” of the (Euclidean) c=1 string theory. We remark on the implications of these results for (a) QCD at finite temperature and (b) string theory.

scholarly journals Probing quadratic gravity with binary inspirals

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Yunho Kim ◽  
Archil Kobakhidze ◽  
Zachary S. C. Picker
Keyword(s):  
Experimental Data ◽  
General Relativity ◽  
Gravitational Waves ◽  
Binary Systems ◽  
Theoretical Calculations ◽  
Low Energy ◽  
Effective Theory ◽  
Unknown Parameters ◽  
Quadratic Gravity ◽  
Hilbert Action

AbstractIn this paper, we study gravitational waves generated by binary systems within an extension of General Relativity which is described by the addition of quadratic in curvature tensor terms to the Einstein–Hilbert action. Treating quadratic gravity as an effective theory valid in the low energy/curvature regime, we argue that reliable calculations can be performed in the early inspiral phase, and furthermore, no flux of additional massive waves can be detected. We then compute the Yukawa suppressed dipole-like corrections to the post-Newtonian (PN) expansion of the standard waveform. By confronting these theoretical calculations with available experimental data, we constrain both unknown parameters of quadratic gravity to be $$0 \le \gamma \, \lesssim 5.9\times 10^{76}$$ 0 ≤ γ ≲ 5.9 × 10 76 , and $$-\frac{\gamma }{4} \le \beta \, \lesssim 9.8\times 10^{75} - \frac{\gamma }{4}$$ - γ 4 ≤ β ≲ 9.8 × 10 75 - γ 4 .

scholarly journals A note on low energy effective theory of chromo-natural inflation in the light of BICEP2 results

2015 ◽  
Vol 30 (11) ◽  
pp. 1550040 ◽  
Author(s):  
Anindita Bhattacharjee ◽  
Atri Deshamukhya ◽  
Sudhakar Panda
Keyword(s):  
Experimental Data ◽  
Recent Result ◽  
Observational Data ◽  
Parameter Space ◽  
Low Energy ◽  
The Other ◽  
Effective Theory ◽  
Inflation Model ◽  
Upper Limit ◽  
Inflationary Models

Recent result of BICEP2, revealing a larger value of tensor to scalar ratio (r), has opened up new investigations of the inflationary models to fit the experimental data. The experiment needs to reconfirm the results, specifically the consistency between Planck and BICEP2. On the other hand, the combined analysis of Planck and BICEP2, including the dust polarization uncertainty, brings down the upper limit on r. In this paper, we re-examine the low energy effective theory of chromo-natural inflation model and its generalization in view of such observational data. We find that the parameter space of the model admits a large value of r as well as other cosmological observables consistent with data.

scholarly journals LIGHT SCALARS AS TETRAQUARKS OR TWO-MESON STATES FROM LARGE-Nc AND UNITARIZED CHIRAL PERTURBATION THEORY

2004 ◽  
Vol 19 (39) ◽  
pp. 2879-2894 ◽  
Author(s):  
J. R. PELÁEZ
Keyword(s):  
Perturbation Theory ◽  
Scattering Amplitudes ◽  
Chiral Perturbation Theory ◽  
Low Energy ◽  
Effective Theory ◽  
Chiral Perturbation ◽  
Large N ◽  
Light Scalar ◽  
Meson States

By means of unitarized Chiral Perturbation Theory it is possible to obtain a remarkable description of meson–meson scattering amplitudes up to 1.2 GeV, and generate poles associated to scalar and vector resonances. Since Chiral Perturbation Theory is the QCD low energy effective theory, it is then possible to study its large-N c limit where [Formula: see text] states are easily identified. The vectors thus generated follow closely a [Formula: see text] behavior, whereas the light scalar poles follow the large-N c behavior expected for a dominant tetraquark or two-meson structure.

TEMPERATURE DEPENDENCE BEHAVIOR OF ELECTRICAL RESISTIVITY IN NOBLE METALS AT LOW TEMPERATURES

2014 ◽  
Vol 5 (3) ◽  
pp. 982-992 ◽  
Author(s):  
M AL-Jalali
Keyword(s):  
Experimental Data ◽  
Electrical Resistivity ◽  
Temperature Dependence ◽  
Concentration Dependence ◽  
Low Temperatures ◽  
Noble Metals ◽  
Phonon Scattering ◽  
Theoretical Models ◽  
Residual Resistivity ◽  
Electron Phonon Scattering

Resistivity temperature – dependence and residual resistivity concentration-dependence in pure noble metals(Cu, Ag, Au) have been studied at low temperatures. Dominations of electron – dislocation and impurity, electron-electron, and electron-phonon scattering were analyzed, contribution of these mechanisms to resistivity were discussed, taking into consideration existing theoretical models and available experimental data, where some new results and ideas were investigated.

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