scholarly journals Center-symmetric effective theory for high-temperature SU(2) Yang-Mills theory

2008 ◽  
Vol 77 (12) ◽  
Author(s):  
Ph. de Forcrand ◽  
A. Kurkela ◽  
A. Vuorinen
Keyword(s):  
High Temperature ◽  
Effective Theory ◽  
Yang Mills

scholarly journals Z(3)-symmetric effective theory forSU(3)Yang-Mills theory at high temperature

2006 ◽  
Vol 74 (2) ◽  
Author(s):  
A. Vuorinen ◽  
Laurence G. Yaffe
Keyword(s):  
High Temperature ◽  
Effective Theory ◽  
Yang Mills

scholarly journals Massive gravity from double copy

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Arshia Momeni ◽  
Justinas Rumbutis ◽  
Andrew J. Tolley
Keyword(s):  
Sigma Model ◽  
Massive Gravity ◽  
Effective Field ◽  
Effective Theory ◽  
Nonlinear Sigma Model ◽  
Limit Theory ◽  
Four Dimensions ◽  
Yang Mills ◽  
Massive Spin ◽  
Double Copy

Abstract We consider the double copy of massive Yang-Mills theory in four dimensions, whose decoupling limit is a nonlinear sigma model. The latter may be regarded as the leading terms in the low energy effective theory of a heavy Higgs model, in which the Higgs has been integrated out. The obtained double copy effective field theory contains a massive spin-2, massive spin-1 and a massive spin-0 field, and we construct explicitly its interacting Lagrangian up to fourth order in fields. We find that up to this order, the spin-2 self interactions match those of the dRGT massive gravity theory, and that all the interactions are consistent with a Λ3 = (m2MPl)1/3 cutoff. We construct explicitly the Λ3 decoupling limit of this theory and show that it is equivalent to a bi-Galileon extension of the standard Λ3 massive gravity decoupling limit theory. Although it is known that the double copy of a nonlinear sigma model is a special Galileon, the decoupling limit of massive Yang-Mills theory is a more general Galileon theory. This demonstrates that the decoupling limit and double copy procedures do not commute and we clarify why this is the case in terms of the scaling of their kinematic factors.

THE AFFINE N = 4 YANG–MILLS THEORY

1992 ◽  
Vol 07 (11) ◽  
pp. 2469-2485
Author(s):  
A. C. CADAVID ◽  
R. J. FINKELSTEIN
Keyword(s):  
Mass Spectrum ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Effective Theory ◽  
Affine Algebra ◽  
Linear Mass ◽  
Expectation Value ◽  
Yang Mills ◽  
Exotic States ◽  
Affine Symmetry

An affine field theory may be constructed by gauging an affine algebra. The momentum integrals of the affine N = 4 Yang–Mills theory are ultraviolet finite but diverge because the sum over states is infinite. If the affine symmetry is broken by postulating a nonvanishing vacuum expectation value for that component of the scalar field lying in the L0 direction, then the theory acquires a linear mass spectrum. This broken theory is ultraviolet finite too, but the mass spectrum is unbounded. If it is also postulated that the mass spectrum has an upper bound (say, the Planck mass), then the resulting theory appears to be altogether finite. The influence of the exotic states has been estimated and, according to the proposed scenario, is negligible below energies at which gravitational interactions become important. The final effective theory has the symmetry of a compact Lie algebra augmented by the operator L0.

scholarly journals Z(3)-symmetric effective theory for pure gauge QCD at high temperature

2007 ◽  
Vol 785 (1-2) ◽  
pp. 190-193
Author(s):  
A. Vuorinen
Keyword(s):  
High Temperature ◽  
Effective Theory ◽  
Pure Gauge

EFFECTIVE THEORY FOR HIGH-TEMPERATURE SUPERCONDUCTIVITY BASED ON DUALITY AT S = 1/2 ANTIFERROMAGNETIC HEISENBERG MODEL

2005 ◽  
Vol 19 (12) ◽  
pp. 571-579 ◽  
Author(s):  
TAKAO MORINARI
Keyword(s):  
High Temperature ◽  
Heisenberg Model ◽  
High Temperature Superconductivity ◽  
High Temperature Superconductors ◽  
Parent Compound ◽  
High Energy ◽  
Field Application ◽  
Effective Theory ◽  
Dirac Fermions ◽  
Antiferromagnetic Heisenberg Model

It is argued that in two-dimension duality connects the CP1 representation of the S = 1/2 antiferromagnetic Heisenberg model with the Schwinger model in which Dirac fermions are interact via a U(1) gauge field. Application of this duality to underdoped high-temperature superconductors suggests that the high-energy fermionic excitation at the Mott insulating parent compound turns out to be a low-lying excitation in the spin disordered regime. A picture for high-temperature superconductivity is proposed.

scholarly journals GENERALIZED BRST QUANTIZATION AND MASSIVE VECTOR FIELDS

1998 ◽  
Vol 13 (18) ◽  
pp. 3101-3120 ◽  
Author(s):  
ROBERT MARNELIUS ◽  
IKUO S. SOGAMI
Keyword(s):  
Vector Fields ◽  
Brst Quantization ◽  
Inner Product ◽  
Effective Theory ◽  
Product Spaces ◽  
Massive Vector ◽  
Yang Mills ◽  
Inner Product Spaces ◽  
Interaction Terms ◽  
Brst Charge

A previously proposed generalized BRST quantization on inner product spaces for second class constraints is further developed through applications. This BRST method involves a conserved generalized BRST charge Q which is not nilpotent, Q2≠0, but which satisfies Q=δ+δ†, δ2=0, and by means of which physical states are obtained from the projection δ| ph >=δ†| ph >=0. A simple model is analyzed in detail from which some basic properties and necessary ingredients are extracted. The method is then applied to a massive vector field. An effective theory is derived which is close to that of the Stückelberg model. However, since the scalar field here is introduced in order to have inner product solutions, a massive Yang–Mills theory with polynomial interaction terms might be possible to cosntruct.

scholarly journals The Yang-Mills deconfinement transition from a high temperature expansion

2020 ◽  
Author(s):  
Quang Anh Pham ◽  
Jangho Kim ◽  
Owe Philipsen ◽  
Jonas Scheunert
Keyword(s):  
High Temperature ◽  
Temperature Expansion ◽  
Yang Mills ◽  
High Temperature Expansion

scholarly journals Multi-Regge limit of the two-loop five-point amplitudes in $$ \mathcal{N} $$ = 4 super Yang-Mills and $$ \mathcal{N} $$ = 8 supergravity

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Simon Caron-Huot ◽  
Dmitry Chicherin ◽  
Johannes Henn ◽  
Yang Zhang ◽  
Simone Zoia
Keyword(s):  
Reference Point ◽  
Functional Form ◽  
Transcendental Function ◽  
Effective Theory ◽  
Perfect Agreement ◽  
Yang Mills ◽  
Analytic Expressions ◽  
Regge Limit ◽  
Independent Calculation ◽  
Super Yang Mills Theory

Abstract In previous work, the two-loop five-point amplitudes in $$ \mathcal{N} $$ N = 4 super Yang-Mills theory and $$ \mathcal{N} $$ N = 8 supergravity were computed at symbol level. In this paper, we compute the full functional form. The amplitudes are assembled and simplified using the analytic expressions of the two-loop pentagon integrals in the physical scattering region. We provide the explicit functional expressions, and a numerical reference point in the scattering region. We then calculate the multi-Regge limit of both amplitudes. The result is written in terms of an explicit transcendental function basis. For certain non-planar colour structures of the $$ \mathcal{N} $$ N = 4 super Yang-Mills amplitude, we perform an independent calculation based on the BFKL effective theory. We find perfect agreement. We comment on the analytic properties of the amplitudes.

scholarly journals Holographic complexity of “black” non-susy D3-brane and the high temperature limit

2019 ◽  
Vol 34 (01) ◽  
pp. 1950003 ◽  
Author(s):  
Sourav Karar ◽  
Sunandan Gangopadhyay ◽  
A. S. Majumdar
Keyword(s):  
High Temperature ◽  
Entanglement Entropy ◽  
Temperature Limit ◽  
Yang Mills ◽  
High Temperature Limit ◽  
Holographic Entanglement Entropy ◽  
The Difference ◽  
Super Yang Mills Theory

The holographic complexity of a “black” non-susy D3-brane is computed. The difference in the holographic complexity between this geometry in the Fefferman–Graham coordinates and that of the AdS5 geometry is obtained for a strip-type subsystem. This is then related to the changes in the energy and the entanglement entropy of the system. We next take the high temperature limit of the change in complexity and observe that it scales with the temperature in the same way as the holographic entanglement entropy. The crossover of the holographic complexity to its corresponding thermal counterpart is similar to the corresponding crossover of the holographic entanglement entropy in the high temperature limit. We further repeat the analysis for [Formula: see text] super-Yang–Mills theory and observe a similar behavior.

scholarly journals The dimensionally reduced effective theory for quarks in high-temperature QCD

1996 ◽  
Vol 480 (3) ◽  
pp. 623-654 ◽  
Author(s):  
Suzhou Huang ◽  
Marcello Lissia
Keyword(s):  
High Temperature ◽  
Effective Theory
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