Low energy properties of SU(2) gauge theory with Nf = 3/2 flavours of adjoint fermions

A bstract In this work we present the results of a numerical investigation of SU(2) gauge theory with N f = 3 / 2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two values of the gauge coupling, the masses of bound sta...

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Published inThe journal of high energy physics Vol. 2018; no. 1; pp. 1 - 15
Main Authors Bergner, Georg, Giudice, Pietro, Münster, Gernot, Scior, Philipp, Montvay, Istvan, Piemonte, Stefano
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2018
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Couplings
Elementary Particles
Fermions
Flavor (particle physics)
Gauge theory
High energy physics
Lattice Quantum Field Theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Renormalization Group
Scaling
String Theory
Lattice Quantum Field Theory
Renormalization Group
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Abstract A bstract In this work we present the results of a numerical investigation of SU(2) gauge theory with N f = 3 / 2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two values of the gauge coupling, the masses of bound states are considered as a function of the fundamental fermion mass, represented by the PCAC quark mass. The scaling of bound states masses indicates an infrared conformal behaviour of the theory. We obtain estimates for the fixed-point value of the mass anomalous dimension γ ∗ from the scaling of masses and from the scaling of the mode number of the Wilson-Dirac operator. The difference of the estimates at the two gauge couplings should be due to scaling violations and lattice spacing effects. The more reliable estimate at the smaller gauge coupling is γ ∗ ≈ 0 . 38(2).
AbstractList In this work we present the results of a numerical investigation of SU(2) gauge theory with Nf = 3/2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two values of the gauge coupling, the masses of bound states are considered as a function of the fundamental fermion mass, represented by the PCAC quark mass. The scaling of bound states masses indicates an infrared conformal behaviour of the theory. We obtain estimates for the fixed-point value of the mass anomalous dimension γ∗ from the scaling of masses and from the scaling of the mode number of the Wilson-Dirac operator. The difference of the estimates at the two gauge couplings should be due to scaling violations and lattice spacing effects. The more reliable estimate at the smaller gauge coupling is γ∗ ≈ 0.38(2).
A bstract In this work we present the results of a numerical investigation of SU(2) gauge theory with N f = 3 / 2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two values of the gauge coupling, the masses of bound states are considered as a function of the fundamental fermion mass, represented by the PCAC quark mass. The scaling of bound states masses indicates an infrared conformal behaviour of the theory. We obtain estimates for the fixed-point value of the mass anomalous dimension γ ∗ from the scaling of masses and from the scaling of the mode number of the Wilson-Dirac operator. The difference of the estimates at the two gauge couplings should be due to scaling violations and lattice spacing effects. The more reliable estimate at the smaller gauge coupling is γ ∗ ≈ 0 . 38(2).
Abstract In this work we present the results of a numerical investigation of SU(2) gauge theory with N f = 3/2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two values of the gauge coupling, the masses of bound states are considered as a function of the fundamental fermion mass, represented by the PCAC quark mass. The scaling of bound states masses indicates an infrared conformal behaviour of the theory. We obtain estimates for the fixed-point value of the mass anomalous dimension γ ∗ from the scaling of masses and from the scaling of the mode number of the Wilson-Dirac operator. The difference of the estimates at the two gauge couplings should be due to scaling violations and lattice spacing effects. The more reliable estimate at the smaller gauge coupling is γ ∗ ≈ 0.38(2).
ArticleNumber 119
Author Montvay, Istvan
Giudice, Pietro
Scior, Philipp
Piemonte, Stefano
Bergner, Georg
Münster, Gernot
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CitedBy_id crossref_primary_10_1103_PhysRevD_103_014503
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Snippet A bstract In this work we present the results of a numerical investigation of SU(2) gauge theory with N f = 3 / 2 flavours of fermions, corresponding to 3...
In this work we present the results of a numerical investigation of SU(2) gauge theory with Nf = 3/2 flavours of fermions, corresponding to 3 Majorana...
Abstract In this work we present the results of a numerical investigation of SU(2) gauge theory with N f = 3/2 flavours of fermions, corresponding to 3...
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SubjectTerms Classical and Quantum Gravitation
Couplings
Elementary Particles
Fermions
Flavor (particle physics)
Gauge theory
High energy physics
Lattice Quantum Field Theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Renormalization Group
Scaling
String Theory
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Title Low energy properties of SU(2) gauge theory with Nf = 3/2 flavours of adjoint fermions
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