The Effective Potential, the Renormalisation Group and Vacuum Stability
نویسندگان
چکیده
We review the calculation of the the effective potential with particular emphasis on cases when the tree potential or the renormalisation-group-improved, radiatively corrected potential exhibits non-convex behaviour. We illustrate this in a simple Yukawa model which exhibits a novel kind of dimensional transmutation. We also review briefly earlier work on the Standard Model. We conclude that, despite some recent claims to the contrary, it can be possible to infer reliably that the tree vacuum does not represent the true ground state of the theory. [email protected] [email protected]
منابع مشابه
Lth 288 Um - Th - 92 - 21 the Effective Potential and the Renormalisation Group
We discuss renormalisation group improvement of the effective potential both in general and in the context of O(N) scalar φ 4 and the Standard Model. In the latter case we find that absolute stability of the electroweak vacuum implies that
متن کاملNon - trivial phase structure of φ 4 - theory at finite temperature 1
The effective potential for the local composite operator φ 2 (x) in λφ 4-theory is investigated at finite temperature in an approach based on path-integral lin-earisation of the φ 4-interaction. At zero temperature, the perturbative vacuum is unstable, because a non-trivial phase with a scalar condensate φ 2 0 has lower effective action. Due to field renormalisation, λφ 2 0 is renormalisation g...
متن کاملSymplectic Geometry and Hamiltonian Flow of the Renormalisation Group Equation
It is argued that renormalisation group flow can be interpreted as being a Hamiltonian vector flow on a phase space which consists of the couplings of the theory and their conjugate “momenta”, which are the vacuum expectation values of the corresponding composite operators. The Hamiltonian is linear in the conjugate variables and can be identified with the vacuum expectation value of the trace ...
متن کاملMultiscale renormalization group improvement of the effective potential.
Using the renormalisation group and a conjecture concerning the perturbation series for the effective potential, the leading logarithms in the effective potential are exactly summed for O(N) scalar and Yukawa theories.
متن کاملThe Effect of Coating with Green Tea Extract and Collagen Fiber on Quality Attributes of Vacuum Packaged Sausage
Oxidative and microbiological degradations are the main factors that determine the quality of food and the shelf life. Color and moisture stability are important quality attributes that contribute to meat shelf life, salability and consumer acceptability. There is currently considerable interest in edible films coatings and natural antioxidants because of their potential to improve the quality ...
متن کامل