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An all-order discontinuity at the electroweak phase transition (hep-th/9907194 )

M. Laine, M. Shaposhnikov
Subjects: High Energy Physics - Theory, High Energy Physics - Phenomenology
Abstract:
We define a non-local gauge-invariant Green's function which can distinguish between the symmetric (confinement) and broken (Higgs) phases of the hot SU(2)xU ... expand ↓
Abstract:
We define a non-local gauge-invariant Green's function which can distinguish between the symmetric (confinement) and broken (Higgs) phases of the hot SU(2)xU(1) electroweak theory to all orders in the perturbative expansion. It is related to the coupling of the Chern-Simons number to a massless Abelian gauge field. The result implies either that there is a way to distinguish between the phases, even though the macroscopic thermodynamical properties of the system have been observed to be smoothly connected, or that the perturbative Coleman-Hill theorem on which the argument is based, is circumvented by non-perturbative effects. We point out that this question could in principle be studied with three-dimensional lattice simulations. collapse ↑
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Found concepts (66)

  • Perturbation theory 16
  • Electroweak theory 8
  • Green's function 8
  • Phase transitions 6
  • Gauge field 5
  • Hypercharge 4
  • Perturbative expansion 3
  • Effective action 3
  • Vacuum polarization 3
  • Gauge theory 3
  • Higgs mass 2
  • Fundamental representation 2
  • Partition function 2
  • Gauge symmetry 2
  • Gauge transformation 2
  • Scalar field 2
  • Gauge coupling constant 1
  • Chiral fermion 1
  • Momentum space 1
  • Expectation Value 1
  • Electroweak symmetry breaking 1
  • Vacuum energy 1
  • Propagator 1
  • Vector boson 1
  • Charged particle 1
  • Mass spectrum 1
  • Yang-Mills theory 1
  • W boson 1
  • Renormalization 1
  • Quantization 1
  • Vector field (disambiguate)1





    Okclose
  • Higgs boson 1
  • Gauge invariance 1
  • Monte Carlo method 1
  • Minimal supersymmetric Standard Model 1
  • Mass to light ratio 1
  • Hydrogen 21 cm line 1
  • Field 15
  • Temperature 11
  • U(1) 11
  • SU(2) 10
  • Mass 8
  • Photon 6
  • Scalar 4
  • Baryons 3
  • Tensor 3
  • Lagrangian 3
  • Chemical potential 3
  • Thermodynamics 2
  • Charge 2
  • Particles 2
  • Vector 2
  • Fermion 2
  • Electromagnetic field 2
  • Action 2
  • Algorithms 1
  • Objective 1
  • Vacuum 1
  • Pauli matrices 1
  • P-symmetry 1
  • Momentum 1
  • Magnetic field 1
  • Electric field 1
  • Boson 1
  • Networks 1
  • Tension 1

Chosen concepts (10)

  • Electroweak phase transition 1
  • Higgs phase 21
  • Chern-Simons number 7
  • Topological mass term 6
  • Quantum anomaly 3
  • Lepton number 3
  • Hypermagnetic field 2
  • First-order phase transitions 1
  • Dimension reduction 0
  • Cosmological magnetic field 0
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