A new type of loop independence and SU(N) quantum Yang–Mills theory in two dimensions

1999 ◽  
Vol 40 (6) ◽  
pp. 2584-2610 ◽  
Author(s):  
Christian Fleischhack
Keyword(s):  
Two Dimensions ◽  
Yang Mills ◽  
New Type

scholarly journals Exact extended supersymmetry on a lattice: Twisted N=2 super-Yang–Mills in two dimensions

2006 ◽  
Vol 633 (4-5) ◽  
pp. 645-652 ◽  
Author(s):  
Alessandro D'Adda ◽  
Issaku Kanamori ◽  
Noboru Kawamoto ◽  
Kazuhiro Nagata
Keyword(s):  
Extended Supersymmetry ◽  
Two Dimensions ◽  
Yang Mills

scholarly journals New soliton solutions of anti-self-dual Yang-Mills equations

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Masashi Hamanaka ◽  
Shan-Chi Huang
Keyword(s):  
Gauge Group ◽  
Darboux Transformation ◽  
Domain Walls ◽  
Soliton Solutions ◽  
Real Space ◽  
Explicit Calculation ◽  
Yang Mills ◽  
Action Density ◽  
New Type ◽  
Exact Soliton Solutions

Abstract We study exact soliton solutions of anti-self-dual Yang-Mills equations for G = GL(2) in four-dimensional spaces with the Euclidean, Minkowski and Ultrahyperbolic signatures and construct special kinds of one-soliton solutions whose action density TrFμνFμν can be real-valued. These solitons are shown to be new type of domain walls in four dimension by explicit calculation of the real-valued action density. Our results are successful applications of the Darboux transformation developed by Nimmo, Gilson and Ohta. More surprisingly, integration of these action densities over the four-dimensional spaces are suggested to be not infinity but zero. Furthermore, whether gauge group G = U(2) can be realized on our solition solutions or not is also discussed on each real space.

From Diffeomorphisms to Dark Energy?

2003 ◽  
Vol 18 (33n35) ◽  
pp. 2467-2474 ◽  
Author(s):  
Vincent G. J. Rodgers ◽  
Takeshi Yasuda
Keyword(s):  
Dark Energy ◽  
Lie Algebras ◽  
Virasoro Algebra ◽  
Two Dimensions ◽  
Coadjoint Orbits ◽  
Coadjoint Representation ◽  
Natural Setting ◽  
Affine Lie Algebras ◽  
Yang Mills ◽  
Geometric Action

There are two physical actions that have a natural setting in terms of the coadjoint representation of the algebra of diffeomorphisms and of affine Lie algebras. One is the usual geometric action that comes from coadjoint orbits. The other action lives on the phase space that is transverse to the orbits and are called transverse actions, where Yang-Mills theory in two dimensions is an example. Here we show that the transverse action associated with the Virasoro algebra might contain clues for a theory for dark energy. These actions might also suggests a mechanism for symmetry changing.

scholarly journals Residues and Topological Yang–Mills Theory in Two Dimensions

1997 ◽  
Vol 09 (01) ◽  
pp. 59-75
Author(s):  
Kenji Mohri
Keyword(s):  
Correlation Function ◽  
Riemann Surface ◽  
Magnetic Flux ◽  
Recursion Relation ◽  
Two Dimensions ◽  
Yang Mills ◽  
Residue Formula ◽  
Valued Field ◽  
Physical Quantities

A residue formula which evaluates any correlation function of topological SUn Yang–Mills theory with arbitrary magnetic flux insertion in two-dimensions are obtained. Deformations of the system by two-form operators are investigated in some detail. The method of the diagonalization of a matrix-valued field turns out to be useful to compute various physical quantities. As an application we find the operator that contracts a handle of a Riemann surface and a genus recursion relation.

scholarly journals Magic of high-order van Hove singularity

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Noah F. Q. Yuan ◽  
Hiroki Isobe ◽  
Liang Fu
Keyword(s):  
Density Of States ◽  
Twist Angle ◽  
Saddle Points ◽  
Two Dimensions ◽  
High Order ◽  
Van Hove Singularity ◽  
Vertical Electric Field ◽  
New Type ◽  
Field Correlation ◽  
Trilayer Graphene

AbstractThe van Hove singularity in density of states generally exists in periodic systems due to the presence of saddle points of energy dispersion in momentum space. We introduce a new type of van Hove singularity in two dimensions, resulting from high-order saddle points and exhibiting power-law divergent density of states. We show that high-order van Hove singularity can be generally achieved by tuning the band structure with a single parameter in moiré superlattices, such as twisted bilayer graphene by tuning twist angle or applying pressure, and trilayer graphene by applying vertical electric field. Correlation effects from high-order van Hove singularity near Fermi level are also discussed.

Poly(7,16-dihydroheptacenes): a new type of obligate ladder polymer conformationally restricted to two dimensions

1982 ◽  
Vol 15 (4) ◽  
pp. 939-947 ◽  
Author(s):  
Vinod R. Sastri ◽  
Robert Schulman ◽  
David C. Roberts
Keyword(s):  
Two Dimensions ◽  
Conformationally Restricted ◽  
New Type ◽  
Ladder Polymer

Beta functions in Chirally deformed supersymmetric sigma models in two dimensions

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645040
Author(s):  
Arkady Vainshtein
Keyword(s):  
Sigma Models ◽  
Two Dimensions ◽  
Two Dimensional ◽  
World Sheet ◽  
Yang Mills ◽  
Anomalous Dimensions ◽  
Straightforward Method ◽  
The World ◽  
Original Formula

We study two-dimensional sigma models where the chiral deformation diminished the original [Formula: see text] supersymmetry to the chiral one, [Formula: see text]. Such heterotic models were discovered previously on the world sheet of non-Abelian stringy solitons supported by certain four-dimensional [Formula: see text] theories. We study geometric aspects and holomorphic properties of these models, and derive a number of exact expressions for the [Formula: see text] functions in terms of the anomalous dimensions analogous to the NSVZ [Formula: see text] function in four-dimensional Yang-Mills. Instanton calculus provides a straightforward method for the derivation.

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