2023
Mechanization of a scalar field theory in 1+1 dimensions: Bogomol'nyi-Prasad-Sommerfeld mechanical kinks and their scattering
BLASCHKE, Filip; Ondřej Nicolas KARPÍŠEK and Lukáš RAFAJBasic information
Original name
Mechanization of a scalar field theory in 1+1 dimensions: Bogomol'nyi-Prasad-Sommerfeld mechanical kinks and their scattering
Authors
BLASCHKE, Filip (203 Czech Republic, belonging to the institution); Ondřej Nicolas KARPÍŠEK (203 Czech Republic, belonging to the institution) and Lukáš RAFAJ (703 Slovakia, belonging to the institution)
Edition
PHYSICAL REVIEW E, COLLEGE PK, AMER PHYSICAL SOC, 2023, 2470-0045
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10305 Fluids and plasma physics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 2.400 in 2022
RIV identification code
RIV/47813059:19630/23:A0000280
Organization unit
Institute of physics in Opava
UT WoS
001088926100002
EID Scopus
2-s2.0-85174500576
Keywords in English
Coordinate models; Effective Lagrangian; Energy; Infinite numbers; Mechanical; Mechanisation; Number of degrees of freedom; Scalar field theory; Scalar fields
Tags
International impact, Reviewed
Changed: 16/1/2024 13:47, Mgr. Pavlína Jalůvková
Abstract
V originále
We present an updated version of a general-purpose collective coordinate model that aims to fully map out the dynamics of a single scalar field in 1 + 1 dimensions. This is achieved by a procedure that we call a mechanization, in which we reduce the infinite number of degrees of freedom down to a finite and controllable number by chopping the field into flat segments connected via joints. In this paper we introduce two new ingredients to our procedure. The first is a manifestly Bogomol'nyi-Prasad-Sommerfeld (BPS) mechanization in which BPS mechanical kinks saturate the same bound on energy as their field-theoretic progenitors. The second is allowing the joints to switch, leading to an extended concept of the effective Lagrangian, through which we describe direct collisions of mechanical kinks and antikinks.