Gaussian Approach to (1 + 1) Dimensional φ6 Solitons at Finite Temperature

1990 ◽  
Vol 45 (6) ◽  
pp. 779-782
Author(s):  
Rajkumar Roychoudhury ◽  
Manasi Sengupta
Keyword(s):  
Critical Temperature ◽  
Effective Potential ◽  
Finite Temperature ◽  
Soliton Solutions ◽  
Gap Equation ◽  
Potential Approach ◽  
Mass Gap ◽  
Gaussian Effective Potential

AbstractUsing the Gaussian effective potential approach, φ6 soliton solutions at finite temperature are studied for both the general case and the particular case λ2 = 2ξm2. A critical temperature is found at which soliton solutions cease to exist. The effective potential together with the mass-gap equation are studied in detail, and comparison with existing work on this subject is made

Gaussian Approach to (1+1)Dimensional Solitons at Finite Temperature

1989 ◽  
Vol 44 (6) ◽  
pp. 524-528
Author(s):  
Rajkumar Roychoudhury ◽  
Manasi Sengupta
Keyword(s):  
Critical Temperature ◽  
Effective Potential ◽  
Finite Temperature ◽  
Soliton Solutions ◽  
Gap Equation ◽  
Potential Approach ◽  
Mass Gap ◽  
Gaussian Effective Potential

Soliton solutions at finite temperature have been studied using the Gaussian effective potential approach. A critical temperature Tc is obtained at which the soliton solutions cease to exist. The effective potential has also been calculated together with the Mass Gap equation.

A GAUSSIAN APPROACH TO SINE GORDON THEORY AT FINITE TEMPERATURE

1989 ◽  
Vol 04 (21) ◽  
pp. 2031-2040 ◽  
Author(s):  
PINAKI ROY ◽  
RAJKUMAR ROYCHOUDHURY ◽  
Y.P. VARSHNI
Keyword(s):  
Critical Temperature ◽  
Effective Potential ◽  
Finite Temperature ◽  
Soliton Solutions ◽  
Zero Temperature ◽  
Gaussian Effective Potential

We evaluate the gaussian effective potential (GEP) for the Sine Gordon theory at finite temperature. Using the GEP we find a critical temperature (Tc) such that for all T≥Tc, soliton solutions in this model cease to exist. The zero temperature situation has also been analysed and it has been shown that for λ≥λc, solitons do not exist.

scholarly journals O(N)-symmetric λφ4theory: The Gaussian-effective-potential approach

1987 ◽  
Vol 35 (8) ◽  
pp. 2407-2414 ◽  
Author(s):  
P. M. Stevenson ◽  
B. Allès ◽  
R. Tarrach
Keyword(s):  
Effective Potential ◽  
Potential Approach ◽  
Gaussian Effective Potential

scholarly journals Generalized Gaussian Effective Potential: Second-Order Thermal Corrections

1997 ◽  
Vol 12 (15) ◽  
pp. 1077-1085
Author(s):  
Paolo Cea ◽  
Luigi Tedesco
Keyword(s):  
Scalar Field ◽  
Effective Potential ◽  
Finite Temperature ◽  
Spatial Dimension ◽  
Simple Relation ◽  
Second Order ◽  
The Self ◽  
Gaussian Effective Potential

We discuss the finite temperature generalized Gaussian effective potential. We put out a very simple relation between the thermal corrections to the generalized Gaussian effective potential and those of the effective potential. We evaluate explicitly the second-order thermal corrections in the case of the self-interacting scalar field in one spatial dimension.

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.

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