scholarly journals Properties of Nuclear Matter in Cutoff Field Theory and the Low-Energy Effective Lagrangian in the Hartree Approximation

1997 ◽  
Vol 97 (1) ◽  
pp. 91-101 ◽  
Author(s):  
H. Kouno ◽  
T. Mitsumori ◽  
Y. Iwasaki ◽  
K. Sakamoto ◽  
N. Noda ◽  
...  
Keyword(s):  
Field Theory ◽  
Nuclear Matter ◽  
Low Energy ◽  
Hartree Approximation ◽  
Effective Lagrangian

EFFECTIVE VECTOR MESON MASSES IN A CUTOFF FIELD THEORY

2000 ◽  
Vol 09 (02) ◽  
pp. 169-183 ◽  
Author(s):  
KATSUAKI SAKAMOTO ◽  
MANABU NAKAI ◽  
HIROAKI KOUNO ◽  
AKIRA HASEGAWA ◽  
MASAHIRO NAKANO
Keyword(s):  
Field Theory ◽  
Mass Formula ◽  
High Energy ◽  
Low Energy ◽  
Meson Mass ◽  
Normal Density ◽  
Effective Masses ◽  
Effective Lagrangian ◽  
Cutoff Dependence ◽  
Energy Quantum

Based on quantum hadrodynamics with a finite cutoff, the effective masses of vector mesons (ω,ρ) in nuclear medium are calculated. We use a low-energy effective Lagrangian which is obtained by integrating high-energy quantum fluctuations. Although we use an artificial cutoff, the cutoff-dependence can be removed order by order. It is also found that the effective ρ-meson mass [Formula: see text] decreases as the density increases. The rate of the decrease becomes smaller at high density. As a result, at the normal density, [Formula: see text] is 0.85~0.92.

The Heisenberg–Euler Lagrangian as an example of an effective field theory

2014 ◽  
Vol 29 (26) ◽  
pp. 1430052 ◽  
Author(s):  
Walter Dittrich
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Green’S Functions ◽  
Proper Time ◽  
Effective Field ◽  
Low Energy ◽  
Energy Photon ◽  
Effective Lagrangian ◽  
The One

We review the beginning of the effective Lagrangian in QED that was first introduced in the literature by W. Heisenberg and H. Euler in 1936. Deviating from their way of calculating the one-loop effective correction to the classical Maxwell Lagrangian, we use Green's functions and adopt the Fock–Schwinger proper-time method. The important role of the Heisenberg–Euler effective Lagrangian is explicitly demonstrated for low-energy photon–photon processes.

scholarly journals Explicit soft supersymmetry breaking in the heterotic M-theory B − L MSSM

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Anthony Ashmore ◽  
Sebastian Dumitru ◽  
Burt A. Ovrut
Keyword(s):  
Line Bundle ◽  
Supersymmetry Breaking ◽  
Moduli Space ◽  
Initial Conditions ◽  
Low Energy ◽  
Strongly Coupled ◽  
Hidden Sector ◽  
Effective Lagrangian ◽  
Soft Supersymmetry Breaking ◽  
M Theory

Abstract The strongly coupled heterotic M-theory vacuum for both the observable and hidden sectors of the B − L MSSM theory is reviewed, including a discussion of the “bundle” constraints that both the observable sector SU(4) vector bundle and the hidden sector bundle induced from a single line bundle must satisfy. Gaugino condensation is then introduced within this context, and the hidden sector bundles that exhibit gaugino condensation are presented. The condensation scale is computed, singling out one line bundle whose associated condensation scale is low enough to be compatible with the energy scales available at the LHC. The corresponding region of Kähler moduli space where all bundle constraints are satisfied is presented. The generic form of the moduli dependent F-terms due to a gaugino superpotential — which spontaneously break N = 1 supersymmetry in this sector — is presented and then given explicitly for the unique line bundle associated with the low condensation scale. The moduli-dependent coefficients for each of the gaugino and scalar field soft supersymmetry breaking terms are computed leading to a low-energy effective Lagrangian for the observable sector matter fields. We then show that at a large number of points in Kähler moduli space that satisfy all “bundle” constraints, these coefficients are initial conditions for the renormalization group equations which, at low energy, lead to completely realistic physics satisfying all phenomenological constraints. Finally, we show that a substantial number of these initial points also satisfy a final constraint arising from the quadratic Higgs-Higgs conjugate soft supersymmetry breaking term.

scholarly journals The low-energy effective theory of axions and ALPs

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Martin Bauer ◽  
Matthias Neubert ◽  
Sophie Renner ◽  
Marvin Schnubel ◽  
Andrea Thamm
Keyword(s):  
High Energy ◽  
New Physics ◽  
Mass Scale ◽  
Low Energy ◽  
Effective Theory ◽  
Loop Order ◽  
Flavor Changing ◽  
Effective Lagrangian ◽  
Anomalous Dimensions ◽  
Pseudoscalar Mesons

Abstract Axions and axion-like particles (ALPs) are well-motivated low-energy relics of high-energy extensions of the Standard Model, which interact with the known particles through higher-dimensional operators suppressed by the mass scale Λ of the new-physics sector. Starting from the most general dimension-5 interactions, we discuss in detail the evolution of the ALP couplings from the new-physics scale to energies at and below the scale of electroweak symmetry breaking. We derive the relevant anomalous dimensions at two-loop order in gauge couplings and one-loop order in Yukawa interactions, carefully considering the treatment of a redundant operator involving an ALP coupling to the Higgs current. We account for one-loop (and partially two-loop) matching contributions at the weak scale, including in particular flavor-changing effects. The relations between different equivalent forms of the effective Lagrangian are discussed in detail. We also construct the effective chiral Lagrangian for an ALP interacting with photons and light pseudoscalar mesons, pointing out important differences with the corresponding Lagrangian for the QCD axion.

scholarly journals ε-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACE–TIME

1998 ◽  
Vol 13 (16) ◽  
pp. 2857-2874
Author(s):  
IVER H. BREVIK ◽  
HERNÁN OCAMPO ◽  
SERGEI ODINTSOV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Curved Space ◽  
Njl Model ◽  
Effective Lagrangian ◽  
Special Solutions ◽  
Curvature Approximation ◽  
Symmetric Phase

We discuss ε-expansion in curved space–time for asymptotically free and asymptotically nonfree theories. The existence of stable and unstable fixed points is investigated for fϕ4 theory and SU(2) gauge theory. It is shown that ε-expansion maybe compatible with aysmptotic freedom on special solutions of the RG equations in a special ase (supersymmetric theory). Using ε-expansion RG technique, the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL model are found in (4-ε)-dimensional curved space (in linear curvature approximation). The curvature-induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.

scholarly journals Low energy theorems from the effective lagrangian

1984 ◽  
Vol 148 (4-5) ◽  
pp. 343-346 ◽  
Author(s):  
Namik K. Pak ◽  
Paolo Rossi
Keyword(s):  
Low Energy ◽  
Effective Lagrangian

NUCLEAR MATTER WITH CONSTITUENT MESON QUANTA

1990 ◽  
Vol 05 (17) ◽  
pp. 3391-3399 ◽  
Author(s):  
AMRUTA MISHRA ◽  
H. MISHRA ◽  
S.P. MISRA
Keyword(s):  
Field Theory ◽  
Nuclear Matter ◽  
Mass Shell ◽  
Mean Field ◽  
S Wave ◽  
Field Approach ◽  
Physical Insight ◽  
The Mean

We discuss here some nonperturbative techniques of field theory, where we dress nuclear matter as a whole with off-mass-shell pions. Here s-wave pion pairs simulate the effect of σ-meson of the mean field approach of Walecka. The signatures are in agreement with earlier results along with new physical insight.

scholarly journals Hyperons in nuclear matter from SU(3) chiral effective field theory

2016 ◽  
Vol 52 (1) ◽  
Author(s):  
S. Petschauer ◽  
J. Haidenbauer ◽  
N. Kaiser ◽  
Ulf-G. Meißner ◽  
W. Weise
Keyword(s):  
Field Theory ◽  
Nuclear Matter ◽  
Effective Field Theory ◽  
Effective Field ◽  
Chiral Effective Field Theory
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