scholarly journals Holographic Ward identities for symmetry breaking in two dimensions

2017 ◽  
Vol 2017 (4) ◽  
Author(s):  
Riccardo Argurio ◽  
Gaston Giribet ◽  
Andrea Marzolla ◽  
Daniel Naegels ◽  
J. Anibal Sierra-Garcia
Keyword(s):  
Symmetry Breaking ◽  
Two Dimensions ◽  
Ward Identities

THE NATURE OF SYMMETRY BREAKING IN THE SUPERFLUID PHASE TRANSITION IN TWO DIMENSIONS

1994 ◽  
Vol 08 (06) ◽  
pp. 381-392
Author(s):  
ACHILLES D. SPELIOTOPOULOS ◽  
HARRY L. MORRISON
Keyword(s):  
Phase Transition ◽  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Bose Gas ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Superfluid Phase ◽  
Ensemble Theory ◽  
Ideal Bose Gas

The nature of symmetry breaking in the superfluid phase transition in two dimensions is studied. It is shown that, like superfluidity in three dimensions, the superfluid phase transition in two dimensions is characterized by the breaking of a U(1) gauge symmetry. The phase transition does not so much resemble the superfluid phase transition in three dimensions, however, as it does Bogolubov’s η-ensemble theory of the condensation of an ideal Bose gas.

OPERATOR REGULARIZATION AND THE COMPONENT WESS-ZUMINO MODEL

1990 ◽  
Vol 05 (10) ◽  
pp. 1919-1949 ◽  
Author(s):  
D.G.C. McKEON ◽  
S.S. SAMANT ◽  
T.N. SHERRY
Keyword(s):  
Symmetry Breaking ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Loop Order ◽  
Ward Identities ◽  
Model Calculations ◽  
Stress Energy ◽  
Component Field ◽  
Spinor Current ◽  
Zumino Model

Operator regularization has been shown to provide a method for computing Green’s functions without introducing any symmetry breaking regulating parameters, and without the occurrence of explicit infinities at any stage of the calculation. In this paper, we apply this technique to the component field Wess-Zumino model. Calculations to two-loop order of the two-point functions show that the supersymmetric Ward identities are satisfied, and that infinities do not arise. One-loop anomalous processes involving the chiral current, the spinor current and the stress-energy tensor are computed.

scholarly journals XYmodels with disorder and symmetry-breaking fields in two dimensions

1998 ◽  
Vol 58 (13) ◽  
pp. 8667-8682 ◽  
Author(s):  
Stefan Scheidl ◽  
Michael Lehnen
Keyword(s):  
Symmetry Breaking ◽  
Two Dimensions

The arithmetic symmetry of colored crystals: classification of 2-color 2-lattices

2004 ◽  
Vol 37 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Giuseppe Fadda ◽  
Giovanni Zanzotto
Keyword(s):  
Symmetry Breaking ◽  
Crystal Structures ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Systematic Classification ◽  
Black And White ◽  
Detailed Classification

A framework for the detailed classification of general crystal structures, based on an arithmetic criterion, has been proposed in recent years. In this paper it is shown how this method can also be applied to enumerate colored crystals. To illustrate this approach, the systematic classification in the simplest case,i.e.of `2-color 2-lattices', in two and three dimensions (two- and three-dimensional crystals with two differently colored atoms per unit translational cell) is presented. 51 distinct types of 2-color 2-lattices are found in three dimensions (ten types in two dimensions); this gives a complete catalog of the simplest crystal structures that are theoretically possible for two-element compounds. Among the 51 2-lattices, all those which already have aStrukturberichtedenomination are retrieved, as well as the 22 `black-and-white lattices' considered in the theory of magnetic crystals. The symmetry hierarchies and symmetry-breaking possibilities for 2-color 2-lattices are also determined in two and three dimensions.

Sign in / Sign up

Export Citation Format

Share Document