Volume 131, Number 4, August 2020
|Number of page(s)||5|
|Section||The Physics of Elementary Particles and Fields|
|Published online||07 September 2020|
Lost in normalization
Department of Physics, Faculty of Physics and Chemistry, Alzahra University - Tehran 1993891167, Iran
Received: 21 July 2020
Accepted: 4 August 2020
The consequences of the gauge-coupling–dependent normalization factor of in the transfer matrix of 2d U(1) lattice gauge theory are explored. It is seen by the choice that the lowest energy develops a minimum at coupling , leading to a multi-valued Gibbs energy similar to the systems with the first-order phase transition. It is argued how the normalization may be regarded as a lost normalization in the commonly used change of variable to the dimensionless angle-variables. Based on the continuum limit at the next-leading order and the Ostrogradsky formulation of higher-order time-derivatives theories, it is argued that the spectrum at continuum is compatible only with the choice.
PACS: 11.15.Ha – Lattice gauge theory
© 2020 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.