The Ground State Estimation by Global Optimization of an Effective Potential. Application to Binarypara-H2/ortho-D2Molecular Clusters†

2010 ◽  
Vol 114 (36) ◽  
pp. 9820-9824 ◽  
Author(s):  
Jason Deckman ◽  
Vladimir A. Mandelshtam
Keyword(s):  
Global Optimization ◽  
State Estimation ◽  
Effective Potential ◽  
Ground State ◽  
Potential Application

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

2002 ◽  
Vol 17 (25) ◽  
pp. 3681-3688 ◽  
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.

Ground State D2 Dissociation Energy from the Near-dissociation Behavior of Rotational Level Spacings

1975 ◽  
Vol 53 (19) ◽  
pp. 1983-1990 ◽  
Author(s):  
Robert J. Le Roy ◽  
Margaret G. Barwell
Keyword(s):  
Long Range ◽  
Diatomic Molecule ◽  
Dissociation Energy ◽  
Vibrational Level ◽  
Ground State ◽  
Potential Application ◽  
Rotational Level ◽  
Intermolecular Potential ◽  
Continuum Absorption ◽  
Exact Agreement

A method of determining the dissociation energy of a diatomic molecule from the rotational term value(s)of a single vibrational level lying near dissociation is derived and tested. It is based on expressions relating the characteristic near-dissociation behavior of the rotational constants Bv, Dv, Hv,… etc., to the asymptotically dominant inverse power contribution to the long range intermolecular potential. Application of this procedure to data for ground state D2 yields a dissociation energy of D0 = 36 748.88(±0.3)cm−1, in essentially exact agreement with the value Herzberg determined from the onset of continuum absorption in the vacuum u.v., 36 748.9(±0.4) cm−1. This agreement between results obtained from completely different observables appears to confirm the existence of a small discrepancy between experiment and the most recent theoretical nonadiabatic dissociation energy of Kolos and Wolniewicz, 36 748.2 cm−1.

NON-PERTURBATIVE CALCULATION OF EFFECTIVE POTENTIAL IN SUPERSYMMETRIC LIOUVILLE MODEL

1990 ◽  
Vol 05 (26) ◽  
pp. 2115-2125
Author(s):  
ROSE P. IGNATIUS ◽  
K. P. SATHEESH ◽  
V. C. KURIAKOSE ◽  
K. BABU JOSEPH
Keyword(s):  
Effective Potential ◽  
Ground State ◽  
Finite Temperature ◽  
Temperature Effects ◽  
Liouville Theory ◽  
Translational Symmetry ◽  
Zero Temperature ◽  
Perturbative Calculation ◽  
Gaussian Effective Potential

The Gaussian effective potential for the supersymmetric Liouville model is computed both at zero temperature and at a finite temperature. It is noted that the supersymmetric Liouville theory, just like the ordinary Liouville model, does not possess a translationally invariant ground state. The broken translational symmetry is not restored by temperature effects. The supersymmetric Liouville theory is also non-trivial.

ON THE DIMERIZATION OF LINEAR POLYMERS

1989 ◽  
Vol 03 (02) ◽  
pp. 125-133 ◽  
Author(s):  
C. ARAGÃO DE CARVALHO
Keyword(s):  
Free Energy ◽  
Effective Potential ◽  
Ground State ◽  
Finite Temperature ◽  
Continuum Limit ◽  
Linear Polymers ◽  
Renormalization Condition ◽  
Loop Approximation ◽  
The One ◽  
The Continuum

We use the continuum limit of the Su-Schrieffer-Heeger model for linear polymers to construct its effective potential (Gibbs free energy) both at zero and finite temperature. We study both trans and cis-polymers. Our results show that, depending on a renormalization condition to be extracted from experiment, there are several possibilities for the minima of the dimerized ground state of cis-polymers. All calculations are done in the one-loop approximation.

ON THE VACUUM STABILITY IN THE SUPERRENORMALIZED YUKAWA-TYPE THEORY

1990 ◽  
Vol 05 (03) ◽  
pp. 531-541
Author(s):  
G.V. EFIMOV ◽  
G. GANBOLD
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Effective Potential ◽  
Ground State ◽  
Type Theory ◽  
Critical Value ◽  
Coupling Constant ◽  
Vacuum Stability ◽  
Expectation Value ◽  
The Stability

The stability of the ground state and the possibility of the appearance of a phase transition in the superrenormalizable nonlocal Yukawa-type field theory are investigated. A variational estimation of the upper bound for the effective potential is obtained. It is shown that there exists a finite critical value for the boson-fermion coupling constant. The initial vacuum becomes unstable when this coupling constant exceeds the critical value. As a result, the system under consideration goes into the phase with nonvanishing expectation value of the field.

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