Machine learning phases of an Abelian gauge theory
نویسندگان
چکیده
Abstract The phase transition of the two-dimensional U(1) quantum link model on triangular lattice is investigated by employing a supervised neural network (NN) consisting only one input layer, hidden layer two neurons, and output layer. No information studied used when NN training conducted. Instead, artificially made configurations are considered as set. Interestingly, obtained not estimates critical point accurately but also uncovers physics correctly. results presented here imply that NN, which has very simple architecture trained without any from model, can identify targeted structure with high precision.
منابع مشابه
Warped Compactification with an Abelian Gauge Theory
We investigate warped compactification with an abelian gauge theory in six dimensions. The vanishing cosmological constant in four dimensions can generically be realized with a regular metric even in a 3-brane background without fine tuning of couplings.
متن کاملYang-Mills theory as an Abelian theory without gauge fixing
A general procedure to reveal an Abelian structure of Yang-Mills theories by means of a (nonlocal) change of variables, rather than by gauge fixing, in the space of connections is proposed. The Abelian gauge group is isomorphic to the maximal Abelian subgroup of the Yang-Mills gauge group, but not its subgroup. A Maxwell field of the Abelian theory contains topological degrees of freedom of ori...
متن کاملGauge theory of topological phases of matter
We study the response of quantum many-body systems to coupling some of their degrees of freedom to external gauge fields. This serves to understand the current Green functions and transport properties of interacting many-body systems. Our analysis leads to a “gauge theory of states of matter” complementary to the well-known Landau theory of order parameters. We illustrate the power of our appro...
متن کاملVortices in (abelian) Chern-Simons gauge theory
The vortex solutions of various classical planar field theories with (abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term. Adding a suitable sixth-order potential and turning off the Maxwell term provides us with pure Chern-Simons theory with both topological and non-topological...
متن کاملS-duality in Abelian gauge theory revisited
Definition of the partition function of U(1) gauge theory is extended to a class of fourmanifolds containing all compact spaces and the asymptotically locally flat (ALF) ones including the multi-Taub–NUT sopaces. The partition function is calculated via zetafunction regularization and heat kernel techniques with special attention to its modular properties. In the compact case, compared with the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of theoretical and experimental physics
سال: 2023
ISSN: ['1347-4081', '0033-068X']
DOI: https://doi.org/10.1093/ptep/ptad096