Monte Carlo Study of Inverse Symmetry Breaking

A Monte Carlo study of Inverse Symmetry Breaking

Is it always true that more heat means more disorder? The intuitive answer to this question would be yes and indeed this is what happens in the majority of physical systems. Nevertheless, over 20 years ago, S. Weinberg [1], quoting an unpublished remark by S. Coleman, observed that there may be exceptions to the general rule: in models with a sufficiently rich scalar sector, some of the scalars...

Sequential Monte Carlo Inverse Kinematics

In this paper we propose a new and original approach to solve the Inverse Kinematics problem. Our approach has the advantages to avoid the classical pitfalls of numerical inversion methods such as singularities, accept arbitrary types of constraints and exhibit a linear complexity with respect to degrees of freedom which makes it far more efficient for articulated figures with a high number of ...

A Nonperturbative Study of Inverse Symmetry Breaking at High Temperatures

The optimized linear δ-expansion is applied to multi-field O(N1)×O(N2) scalar theories at high temperatures. Using the imaginary time formalism the thermal masses are evaluated perturbatively up to order δ which considers consistently all two-loop contributions. A variational procedure associated with the method generates nonperturbative results which are used to search for parameters values fo...

Wilson renormalization group study of inverse symmetry breaking.

For a large class of field theories there exist portions of parameter space for which the loop expansion predicts increased symmetry breaking at high temperature. Even though this behavior would clearly have far reaching implications for cosmology such theories have not been fully investigated in the literature. This is at least partially due to the counter intuitive nature of the result, which...

1 Review of Symmetry Non-restoration and Inverse Symmetry Breaking