On the stability of the perturbative ground state in non-abelian Yang-Mills theories

The ground state in an SU(2) Yang–Mills theory using a constant nonabelian background field is studied taking into account the gluon and quark one-loop corrections to the classical energy density. The calculated energy density is found to be lower than that of the perturbative vacuum. The local minimum of the energy density is used to calculate the vacuum expectation value of the gluon condensate and the bag constant, which is found to be in reasonable agreement with the known estimates. The stability of this approximation is briefly discussed.

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Ground State Metamorphosis for Yang-Mills Fields on a Finite Periodic Lattice

Structural Elements in Particle Physics and Statistical Mechanics ◽

10.1007/978-1-4613-3509-2_25 ◽

1987 ◽

pp. 339-358 ◽

Cited By ~ 1

Author(s):

A. Gonzalez-Arroyo ◽

J. Jurkiewicz ◽

C. P. Korthals-Altes

Keyword(s):

Ground State ◽

Periodic Lattice ◽

Yang Mills

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Study of Zero Temperature Ground State Properties of the Repulsive Bose-Einstein Condensate in an Anharmonic Trap

Journal of Scientific Research ◽

10.3329/jsr.v13i3.50811 ◽

2021 ◽

Vol 13 (3) ◽

pp. 733-744

Author(s):

P. K. DEBNATH

Keyword(s):

Ground State ◽

Expansion Method ◽

Einstein Condensate ◽

Zero Temperature ◽

Many Body ◽

Ground State Properties ◽

Potential Harmonic ◽

The Stability ◽

Average Size ◽

Body Potential

The zero-temperature ground state properties of experimental 87Rb condensate are studied in a harmonic plus quartic trap [ V(r) = ½mω2r2 + λr4 ]. The anharmonic parameter (λ) is slowly tuned from harmonic to anharmonic. For each choice of λ, the many-particle Schrödinger equation is solved using the potential harmonic expansion method and determines the lowest effective many-body potential. We utilize the correlated two-body basis function, which keeps all possible two-body correlations. The use of van der Waals interaction gives realistic pictures. We calculate kinetic energy, trapping potential energy, interaction energy, and total ground state energy of the condensate in this confining potential, modelled experimentally. The motivation of the present study is to investigate the crucial dependency of the properties of an interacting quantum many-body system on λ. The average size of the condensate has also been calculated to observe how the stability of repulsive condensate depends on anharmonicity. In particular, our calculation presents a clear physical picture of the repulsive condensate in an anharmonic trap.

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REVIEW ON THEORETICAL STUDIES OF SUPERHEAVY NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301306005162 ◽

2006 ◽

Vol 15 (07) ◽

pp. 1587-1599 ◽

Cited By ~ 1

Author(s):

ZHONGZHOU REN ◽

DINGHAN CHEN ◽

CHANG XU

Keyword(s):

Ground State ◽

Large Mass ◽

Mass Region ◽

Superheavy Nuclei ◽

Theoretical Studies ◽

Shape Coexistence ◽

Good Test ◽

Α Decay ◽

The Stability ◽

Theoretical Results

Superheavy elements have provided a good test of the validity of both nuclear structure models and nuclear decay models in a large mass region. We firstly review the recent progress on theoretical studies of superheavy nuclei. Emphasis is placed on the structure and decay of superheavy nuclei. Then theoretical results of odd-odd nuclei with Z = 109 - 115 are presented and discussed. It is clearly demonstrated that there is shape coexistence for the ground state of many superheavy nuclei from different models and many superheavy nuclei are deformed. In some cases superdeformation can become the ground state of superheavy nuclei and it is important for future studies of superheavy nuclei. This can lead to the existence of low-energy isomers in the superheavy region and it plays an important role for the stability of superheavy nuclei. As α-decay and spontaneous fission plays a crucial role for identifications of new elements, we also review some typical models of α-decay half-lives and spontaneous fissions half-lives. Some new views on superheavy nuclei are presented.

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Spin(p + 1, p + 1) COVARIANT Dp-BRANE BOUND STATES

International Journal of Modern Physics A ◽

10.1142/s0217751x01004323 ◽

2001 ◽

Vol 16 (17) ◽

pp. 3025-3040 ◽

Cited By ~ 8

Author(s):

P. SUNDELL

Keyword(s):

Field Theory ◽

Ground State ◽

Bound States ◽

Type Ii ◽

Duality Group ◽

Zero Force ◽

Force Condition ◽

The Stability

We construct Spin (p + 1, p + 1) covariant D p-brane bound states by using the fact that the potentials in the RR sector of toroidically compactified type II supergravity transform as a chiral spinor of the T duality group. As an application, we show the invariance of the zero-force condition for a probe D-brane under noncommutative deformations of the background, which gives a holographic proof of the stability of the corresponding field theory ground state under noncommutative deformations. We also identify the Spin (p + 1, p + 1) transformation laws by examining the covariance of the D-brane Lagrangians.

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FIELD DECOMPOSITION AND THE GROUND STATE STRUCTURE OF SU(2) YANG–MILLS THEORY

International Journal of Modern Physics A ◽

10.1142/s0217751x02010753 ◽

2002 ◽

Vol 17 (25) ◽

pp. 3681-3688 ◽

Cited By ~ 9

Author(s):

LISA FREYHULT

Keyword(s):

Effective Potential ◽

Ground State ◽

Scalar Fields ◽

Background Field ◽

Field Method ◽

Gauge Fields ◽

Ground State Structure ◽

State Structure ◽

Yang Mills ◽

Background Field Method

We compute the effective potential of SU(2) Yang–Mills theory using the background field method and the Faddeev–Niemi decomposition of the gauge fields. In particular, we find that the potential will depend on the values of two scalar fields in the decomposition and that its structure will give rise to a symmetry breaking.

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BPS strings and the stability of the asymptotic Casimir law in adjoint flavor-symmetric Yang-Mills-Higgs models

Physical Review D ◽

10.1103/physrevd.102.074005 ◽

2020 ◽

Vol 102 (7) ◽

Author(s):

David R. Junior ◽

Luis E. Oxman ◽

Gustavo M. Simões

Keyword(s):

Yang Mills ◽

The Stability

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Nuclear structure properties of spin-1/2 heavy nuclei within the relativistic cluster model

International Journal of Modern Physics E ◽

10.1142/s0218301320500263 ◽

2020 ◽

Vol 29 (05) ◽

pp. 2050026

Author(s):

Keivan Darooyi Divshali ◽

Mohammad Reza Shojaei

Keyword(s):

Nuclear Structure ◽

Beta Decay ◽

Ground State ◽

Cluster Model ◽

Heavy Nuclei ◽

Core Cluster ◽

Phenomenological Potential ◽

The Stability ◽

Uvarov Method ◽

Structure Properties

[Formula: see text]C is a beta decay isotope, its beta decay is very slow reflecting the stability of this nucleus and emitted from medium and heavy mass nuclei. The [Formula: see text]C result is in excellent agreement with the favored ground-state-to-ground-state transition according to the cluster model of Blendowske et al. We study nuclear structure properties of spin-1/2 heavy nuclei in the relativistic core-cluster model, that its cluster is [Formula: see text]C. According to this model for spin-1/2 heavy nuclei and for obtaining its wave function, we solve the Dirac equation with the new phenomenological potential by parametric Nikiforov–Uvarov method and then calculate the binding energy and charge radius.

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