119021732
Trace anomalies and chiral Ward identities
In a simple abelian spinor field theory, the canonical trace identities for certain axial-vector and axial-scalar operators are reexamined in dimensional regularization, some disagreements with previous results are found and an interesting new phenomenon is observed and briefly discussed.
13049479
A new kind of constraints on renormalization schemes
We derive a new kind of physical constraints on the subtraction schemes for theories with massive particles in addition to the Ward identities for gauge symmetries. The momentum subtraction scheme fails this criterion. The decoupling of heavy fields is discussed in the context of Callan-Symanzik equations where all schemes (including MOM) lead to the same pattern of decoupling with inevitable discontinuities in beta function across heavy field thresholds. PACS number(s): 11.10.Gh; 11.10.Hi; 12.39.Hg
15356070
Can QFT be UV finite as well as effective
A new attempt is demonstrated that QFTs can be UV finite if they are viewed as the low energy effective theories of a fundamental underlying theory (complete and well-defined in all respects) according to the modern standard point of view. This approach is much simpler in principle and in technology comparing to any known renormalization program. Some subtle and difficult issues can be easily resolved. The importance of the procedure for defining the ambiguities is fully appreciated in the new approach. Some simple but important nonperturbative examples are discussed to show the power and plausibility of the new approach.
14239579
Confinement of Higgs bosons from hidden symmetry and convexity
In the full effective potential (EFP) approach, we find that spontaneous symmetry breaking (SSB) can, with the convexity of the full EFP, lead to the prediction of the IR confinement of Higgs particles, adding difficulty to the experimental identification of Higgs particles. The short distance behaviors remain intact. The whole presentation is given in the understanding that any QFT becomes UV well defined in a more complete underyling theory according to a recently proposed strategy.
119670186
Padé Expansion and the Renormalization of Nucleon–Nucleon Scattering
The importance of imposing physical boundary conditions on the T-matrix to remove the nonperturbative renormalization prescription dependence is stressed and demonstrated in two diagonal channels 1P1 and 1D2, with the help of Pade expansion.
120520076
Soliton mass and discrete coupling constants in the quantized sine-Gordon model
The soliton mass in the quantized sine-Gordon model over the whole range of the coupling constant (g2 from 0 to 8 pi ) is evaluated by means of the Gaussian effective potential method. The analytical expression with numerical results is presented. The authors find that the coupling constant g can only take discrete values. A new kind of soliton linking g Phi =0 to g Phi = pi emerges at a set of special coupling constants g.
116807085
Bogomolny Field Equations and the Double-Complex Function Method
The double-complex function method is applied tothe Bogomolny field equations ofYang–Mills–Higgs theory. We discuss how togenerate a family of solutions of the Bogomolny fieldequations with a double-complex Ernst potential. We discuss the application ofthe Neugebauer–Kramer transformation, the doubleEhlers transformation, and noncommutativity. An exampleof a concrete calculation is given.
124313041
The Phase Structure of Lattice U(1) Gauge Theory with Radially Fixed Higgs Fields: An Analytical Analysis*
In this letter, the variational cumulant expansion is extended to the d-dimensional U(1) gauge theory with radially fixed Higgs fields. The phase structures are given for d = 4 and d = 3 cases. The comparison with the Monte Carlo and mean field results is also presented.
119486325
Split two-Higgs-doublet model and neutrino condensation
We split the two-Higgs-doublet model by assuming very different vevs for the two doublets: the vev is at weak scale (174 GeV) for the doublet Phi(1) and at neutrino-mass scale (10(-2) - 10(-3) eV) for the doublet Phi(2). Phi(1) is responsible for giving masses to all fermions except neutrinos; while Phi(2) is responsible for giving neutrino masses through its tiny vev without introducing the see-saw mechanism. Among the predicted five physical scalars H, h, A(0) and H-+/-, the CP-even scalar h is as light as 10(-2) - 10(-3) eV while the others are at weak scale. We identify h as the cosmic-dark-energy field and the other CP-even scalar H as the Standard Model Higgs boson; while the CP-odd A(0) and the charged H-+/- are the exotic scalars to be discovered at future colliders. Also we demonstrate a possible dynamical origin for the doublet Phi(2) from neutrino condensation caused by some unknown dynamics.
119779961
Phase structure of Abelian Higgs model on a lattice: an analytical analysis
The variational cumulant expansion is extended to d-dimensional U(1) gauge theory with radially active Higgs fields in the fundamental representation. The phase structures are given for d=3 and d=4 cases. A comparison with Monte Carlo and mean field results is also presented.
119272684
Experimental constraints on nMSSM and implications on its phenomenology
We examine various direct and indirect experimental constraints on the nearly minimal supersymmetric standard model (nMSSM) and obtain the following observations: (i) Current experiments stringently constrain the parameter space, setting a range of 1 ∼ 37 GeV for the lightest neutralino χ̃01, 30 ∼ 140 GeV (1 ∼ 250 GeV) for the lightest CP-even (CP-odd) Higgs boson, and 1.5 ∼ 10 for tan β; (ii) To account for the dark matter relic density, besides the s-channel exchange of a Z-boson, the s-channel exchange of a light A1 (the lightest CP-odd Higgs boson) can also play an important role in LSP annihilation. Compared with the Z-exchange annihilation channel, the A1 exchange channel is more favored by muon g − 2 data and allows much broader regions for the parameters; (iii) In a large part of the allowed parameter space the SM-like Higgs boson may dominantly decay to χ̃01χ̃ 0 1 or A1A1 and the conventional visible decays (e.g. into bottom quarks) are severely suppressed. PACS numbers: 14.80.Cp,12.60.Fr,11.30.Qc