Mechanization of scalar field theory in 1+1 dimensions

@article{65342,
   author = {Blaschke, Filip and Karpíšek, Ondřej Nicolas},
   article_location = {OXFORD UNIV PRESS INC},
   article_number = {10},
   doi = {http://dx.doi.org/10.1093/ptep/ptac104},
   keywords = {scalar field;1+1 dimensions;states of high-N mech-oscillons},
   language = {eng},
   issn = {2050-3911},
   journal = {Progress of Theoretical and Experimental Physics},
   title = {Mechanization of scalar field theory in 1+1 dimensions},
   url = {https://academic.oup.com/ptep/article/2022/10/103A01/6651696},
   volume = {2022},
   year = {2022}
}

TY  - JOUR
ID  - 65342
AU  - Blaschke, Filip - Karpíšek, Ondřej Nicolas
PY  - 2022
TI  - Mechanization of scalar field theory in 1+1 dimensions
JF  - Progress of Theoretical and Experimental Physics
VL  - 2022
IS  - 10
SP  - "103A01-1"-"103A01-27"
EP  - "103A01-1"-"103A01-27"
SN  - 20503911
KW  - scalar field;1+1 dimensions;states of high-N mech-oscillons
UR  - https://academic.oup.com/ptep/article/2022/10/103A01/6651696
N2  - "Mechanization" is a procedure of replacing a scalar field in 1+1 dimensions with a piecewise linear function, i.e. a finite graph consisting of N joints (vertices) and straight segments (edges). As a result, the field theory is approximated by a sequence of algebraically tractable, general-purpose collective coordinate mechanical models. We observe the step-by-step emergence of dynamical objects and associated phenomena as N increases. "Mech-kinks" and "mech-oscillons"-mechanical analogs of kinks and oscillons (bions)-appear in the simplest models, while more intricate dynamical patterns, such as the bouncing phenomenon and bion pair-production, emerge gradually as decay states of high-N mech-oscillons.
ER  - 

BLASCHKE, Filip and Ondřej Nicolas KARPÍŠEK. Mechanization of scalar field theory in 1+1 dimensions. \textit{Progress of Theoretical and Experimental Physics}. OXFORD UNIV PRESS INC, 2022, vol.~2022, No~10, p.~''103A01-1''-''103A01-27'', 27 pp. ISSN~2050-3911. Available from: https://dx.doi.org/10.1093/ptep/ptac104.