Compact lattice formulation of Cho–Faddeev–Niemi decomposition: Gluon mass generation and infrared Abelian dominance

Type: Article

Publication Date: 2007-07-27

Citations: 42

DOI: https://doi.org/10.1016/j.physletb.2007.07.042

View

Locations

  • Physics Letters B - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ Composite operator and condensate in $SU(N)$ Yang-Mills theory with $U(N-1)$ stability group 2018 Matthias Warschinke
Ryutaro Matsudo
Shogo Nishino
Toru Shinohara
Kei-Ichi Kondo
+ PDF Chat Quark confinement and gauge invariant monopoles in SU(2) YM 2006 Seikou Kato
+ PDF Chat Compact lattice formulation of Cho–Faddeev–Niemi decomposition: String tension from magnetic monopoles 2006 Sadayoshi Ito
Seikou Kato
Kei-Ichi Kondo
T. Murakami
Akihiro Shibata
T. Shinohara
+ PDF Chat Composite operator and condensate in SU(N) Yang-Mills theory with U(N-1) stability group 2019 Matthias Warschinke
Ryutaro Matsudo
Shogo Nishino
Toru Shinohara
Kei-Ichi Kondo
+ PDF Chat Yang-Mills Theory Constructed from Cho-Faddeev-Niemi Decomposition 2006 Kei-Ichi Kondo
T. Murakami
T. Shinohara
+ Quark confinement and gauge invariant monopoles in SU(2) YM 2006 Seikou Kato
Sadayoshi Ito
Keiichi Kondo
T. Murakami
Akihiro Shibata
T. Shinohara
+ PDF Chat Quark confinement in the Yang-Mills theory with a gauge-invariant gluon mass in view of the gauge-invariant BEH mechanism 2020 Akihiro Shibata
Kei-Ichi Kondo
Ryutaro Matsudo
Shogo Nishino
+ Quark confinement in the Yang-Mills theory with a gauge-invariant gluon mass in view of the gauge-invariant BEH mechanism 2019 Akihiro Shibata
Kei-Ichi Kondo
Ryutaro Matsudo
Shogo Nishino
+ A new description of lattice Yang-Mils theory and non-Abelian monopoles as the quark confiner 2008 Akihiro Shibata
Kei-Ichi Kondo
Seikou Kato
Shoichi Ito
Toru Shinohara
T. Murakami
+ PDF Chat Reflection positivity and complex analysis of the Yang–Mills theory from a viewpoint of gluon confinement 2020 Kei-Ichi Kondo
Masaki Watanabe
Yui Hayashi
Ryutaro Matsudo
Yutaro Suda
+ New descriptions of lattice <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> Yang–Mills theory towards quark confinement 2008 Kei-Ichi Kondo
Akihiro Shibata
Toru Shinohara
T. Murakami
Seikou Kato
Shoichi Ito
+ Toward gauge independent study of confinement in SU(3) Yang-Mills theory 2007 Akihiro Shibata
Seikou Kato
Kei-Ichi Kondo
T. Murakami
T. Shinohara
Shingo Ito
+ Toward gauge independent study of confinement in SU(3) Yang-Mills theory 2007 Akihiro Shibata
Seikou Kato
Kei-Ichi Kondo
T. Murakami
T. Shinohara
Sadayoshi Ito
+ PDF Chat Lattice construction of Cho–Faddeev–Niemi decomposition and gauge-invariant monopole 2005 Seikou Kato
Kei-Ichi Kondo
T. Murakami
Akihiro Shibata
T. Shinohara
Sadayoshi Ito
+ Cho-Faddeev-Niemi decomposition of lattice Yang-Mills theory and evidence of a novel magnetic condensation 2005 Akihiro Shibata
Keiichi Kondo
Seikou Kato
T. Murakami
Toru Shinohara
+ The exact decomposition of gauge variables in lattice Yang–Mills theory 2010 Akihiro Shibata
Kei-Ichi Kondo
Toru Shinohara
+ Correct way to extract dominant part of the Wilson loop in higher representations 2018 Ryutaro Matsudo
Akihiro Shibata
Seikou Kato
Kei-Ichi Kondo
+ New descriptions of lattice SU(N) Yang-Mills theory towards quark confinement 2008 Kei-Ichi Kondo
Akihiro Shibata
T. Shinohara
T. Murakami
Seikou Kato
Sadayoshi Ito
+ Aspects of finite field-dependent symmetry in SU(2) Cho–Faddeev–Niemi decomposition 2013 Sudhaker Upadhyay
+ Gauge-independent derivation of "Abelian" dominance and magnetic monopole dominance in the string tension 2009 Shōhei Kato
Akihiro Shibata
T.Shinohara
Shingo Ito

Cited by (35)

Action Title Year Authors
+ PDF Chat Magnetic monopoles in pure $SU (2)$ Yang–Mills theory with a gauge-invariant mass 2018 Shogo Nishino
Ryutaro Matsudo
Matthias Warschinke
Kei-Ichi Kondo
+ PDF Chat Lattice QCD Green’s functions in maximally Abelian gauge: Infrared Abelian dominance and the quark sector 2016 Mario Schröck
Hannes Vogt
+ PDF Chat Stability of chromomagnetic condensation and mass generation for confinement in SU(2) Yang-Mills theory 2014 Kei-Ichi Kondo
+ PDF Chat Magnetic monopole loops supported by a meron pair as the quark confiner 2008 Kei-Ichi Kondo
Nobuyuki Fukui
Akihiro Shibata
Toru Shinohara
+ PDF Chat Low-energy effective Yang-Mills theory for quark and gluon confinement 2011 Kei-Ichi Kondo
+ PDF Chat Jackiw-Nohl-Rebbi two-instanton as a source of magnetic monopole loop 2010 Nobuyuki Fukui
Kei-Ichi Kondo
Akihiro Shibata
Toru Shinohara
+ Confinement/deconfinement transition temperature from the Polyakov loop potential and gauge-invariant gluon mass 2015 Keiichi Kondo
Akihiro Shibata
+ PDF Chat Non-Abelian dual superconductivity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>Yang-Mills theory: Dual Meissner effect and type of the vacuum 2013 Akihiro Shibata
Kei-Ichi Kondo
Seikou Kato
Toru Shinohara
+ PDF Chat High precision statistical Landau gauge lattice gluon propagator computation vs. the Gribov–Zwanziger approach 2018 David Dudal
Orlando Oliveira
Paulo J. Silva
+ PDF Chat Discriminating between two reformulations of SU(3) Yang-Mills theory on a lattice 2016 Akihiro Shibata
Kei-Ichi Kondo
Seikou Kato
Toru Shinohara
+ Wilson loop and magnetic monopole through a non-Abelian Stokes theorem 2008 Kei-Ichi Kondo
+ PDF Chat Reformulations of the Yang-Mills theory toward quark confinement and mass gap 2016 Kei-Ichi Kondo
Seikou Kato
Akihiro Shibata
Toru Shinohara
+ PDF Chat Experimental verification of two types of gluon jets in QCD 2023 Y. M. Cho
Pengming Zhang
Liping Zou
+ PDF Chat Quark confinement: Dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang–Mills theory 2015 Kei-Ichi Kondo
Seikou Kato
Akihiro Shibata
Toru Shinohara
+ PDF Chat Dyon in the SU(2) Yang–Mills theory with a gauge-invariant gluon mass toward quark confinement 2020 Shogo Nishino
Kei-Ichi Kondo
+ PDF Chat Magnetic monopoles and center vortices as gauge-invariant topological defects simultaneously responsible for confinement 2008 Kei-Ichi Kondo
+ PDF Chat Reformulating SU(N) Yang-Mills Theory Based on Change of Variables 2008 Kei-Ichi Kondo
Toru Shinohara
T. Murakami
+ Proving Abelian dominance in the Wilson loop operator 2008 Kei-Ichi Kondo
Akihiro Shibata
+ New descriptions of lattice <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> Yang–Mills theory towards quark confinement 2008 Kei-Ichi Kondo
Akihiro Shibata
Toru Shinohara
T. Murakami
Seikou Kato
Shoichi Ito
+ PDF Chat Non-Abelian dual superconductor picture for quark confinement 2011 Kei-Ichi Kondo
Akihiro Shibata
Toru Shinohara
Seikou Kato
+ PDF Chat Abelian decomposition and Weyl symmetric effective action of SU(3) QCD 2019 Y. M. Cho
Franklin H. Cho
+ PDF Chat Composite operator and condensate in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> Yang-Mills theory with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:… 2018 Matthias Warschinke
Ryutaro Matsudo
Shogo Nishino
Toru Shinohara
Kei-Ichi Kondo
+ PDF Chat <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts 2021 Guilherme Catumba
Orlando Oliveira
Paulo J. Silva
+ PDF Chat Nonperturbative and Thermal Dynamics of Confined Fields in Dual QCD 2020 H. C. Chandola
Deependra Singh Rawat
Dinesh Kumar Yadav
H. C. Pandey
H. Dehnen
+ The exact decomposition of gauge variables in lattice Yang–Mills theory 2010 Akihiro Shibata
Kei-Ichi Kondo
Toru Shinohara
+ Gauge-independent transition dividing the confinement phase in the lattice SU(2) gauge-adjoint scalar model 2024 Akihiro Shibata
Kei-Ichi Kondo
+ PDF Chat Dimensional transmutation by monopole condensation in QCD 2013 Y. M. Cho
Franklin H. Cho
J. H. Yoon
+ PDF Chat Gauge-independent “Abelian” and magnetic-monopole dominance, and the dual Meissner effect in lattice<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>Yang-Mills theory 2015 Seikou Kato
Kei-Ichi Kondo
Akihiro Shibata
+ PDF Chat QCD effective potential with strong<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:msub><mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>em</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>magnetic fields 2014 Sho Ozaki
+ Discriminating between two reformulations of SU(3) Yang-Mills theory on a lattice 2014 Akihiro Shibata
Kei-Ichi Kondo
Seikou Kato
Toru Shinohara
+ Gauge-invariant description of Higgs phenomenon and quark confinement 2016 Kei-Ichi Kondo
+ PDF Chat Toward a first-principle derivation of confinement and chiral-symmetry-breaking crossover transitions in QCD 2010 Kei-Ichi Kondo
+ PDF Chat NUCLEON SPIN IN QCD: OLD CRISIS AND NEW RESOLUTION 2012 Y. M. Cho
Mo‐Lin Ge
Pengming Zhang
+ Reformulations of the Yang-Mills theory toward quark confinement and mass gap 2014 Kei-Ichi Kondo
Seikou Kato
Akihiro Shibata
Toru Shinohara
+ PDF Chat Finite energy electroweak dyon 2015 Kyoungtae Kimm
J. H. Yoon
Y. M. Cho

Citing (14)

Action Title Year Authors
+ PDF Chat Lattice construction of Cho–Faddeev–Niemi decomposition and gauge-invariant monopole 2005 Seikou Kato
Kei-Ichi Kondo
T. Murakami
Akihiro Shibata
T. Shinohara
Sadayoshi Ito
+ PDF Chat Compact lattice formulation of Cho–Faddeev–Niemi decomposition: String tension from magnetic monopoles 2006 Sadayoshi Ito
Seikou Kato
Kei-Ichi Kondo
T. Murakami
Akihiro Shibata
T. Shinohara
+ PDF Chat Topological content of the electroweak sphaleron on the lattice 1998 M. N. Chernodub
F. V. Gubarev
E.-M. Ilgenfritz
+ PDF Chat BRST symmetry of $SU\!(2)$ Yang-Mills theoryin Cho-Faddeev-Niemi decomposition 2005 Kei-Ichi Kondo
T. Murakami
T. Shinohara
+ PDF Chat Dual Meissner Effect and Magnetic Displacement Currents 2005 Tsuneo Suzuki
Katsuya Ishiguro
Yoshihiro Mori
Toru Sekido
+ PDF Chat Partially Dual Variables in SU(2) Yang-Mills Theory 1999 Ludvig Faddeev
Antti J. Niemi
+ PDF Chat Abelian dominance and gluon propagators in the maximally Abelian gauge of SU(2) lattice gauge theory 2003 V. G. Bornyakov
M. N. Chernodub
F. V. Gubarev
S. M. Morozov
M. I. Polikarpov
+ PDF Chat Gauge-invariant gluon mass, infrared Abelian dominance, and stability of magnetic vacuum 2006 Kei-Ichi Kondo
+ PDF Chat String tension from monopoles in SU(2) lattice gauge theory 1994 John D. Stack
Steven D. Neiman
Roy J. Wensley
+ PDF Chat An effective action for monopoles and knot solitons in Yang–Mills theory 1999 Sergei V. Shabanov
+ PDF Chat Monopoles and string tension in SU(2) QCD 1994 Hiroshi Shiba
Tsuneo Suzuki
+ PDF Chat Yang-Mills Theory Constructed from Cho-Faddeev-Niemi Decomposition 2006 Kei-Ichi Kondo
T. Murakami
T. Shinohara
+ PDF Chat Yang-Mills theory as an Abelian theory without gauge fixing 1999 Sergei V. Shabanov
+ PDF Chat Off-diagonal gluon mass generation and infrared Abelian dominance in the maximally Abelian gauge in lattice QCD 1999 K. Amemiya
Hideo Suganuma