scholarly journals A COMPLETE AND MINIMAL CATALOGUE OF MSSM GAUGE INVARIANT MONOMIALS

2010 ◽  
Vol 25 (17) ◽  
pp. 3375-3387 ◽  
Author(s):  
ANDERS BASBØLL
Keyword(s):  
Linear Combination ◽  
Nonnegative Integer ◽  
Invariant Operator ◽  
Sixth Order ◽  
Gauge Invariant

We present a complete and minimal catalogue of MSSM gauge invariant monomials. That is, the catalogue of Gherghetta, Kolda and Martin is elaborated to include generational structure for all monomials. Any gauge invariant operator can be built as a linear combination of elements of the catalogue lifted to nonnegative integer powers. And the removal of any one of the monomials would deprive the catalogue of this feature. It contains 712 monomials, plus 3 generations of right-handed neutrinos if one extends the model to the νMSSM. We note that νMSSM flat directions can all be lifted by the sixth-order superpotential compared to the ninth-order needed in MSSM.

scholarly journals νMSSM SUPERPOTENTIAL TO SIXTH ORDER, NORMALIZED AND WITH NO SUPERFLUOUS COUPLINGS

2010 ◽  
Vol 25 (26) ◽  
pp. 4933-4948
Author(s):  
ANDERS BASBØLL
Keyword(s):  
Sixth Order ◽  
Gauge Invariant ◽  
Invariant Potential

We expand the superpotential of νMSSM to sixth order. This is the order at which all flat directions can be lifted. All 5179 (complex) couplings are independent, i.e. the superpotential cannot be zero for all fields, without all couplings being zero. Likewise, any gauge invariant potential to the sixth order can be made by fixing the constants. A specific and well-defined choice of normalization has been adopted. The case for investigating this potential, rather than looking at one or several generalized flat directions is made.

scholarly journals ARE THERE TOPOLOGICALLY CHARGED STATES ASSOCIATED WITH QUANTUM ELECTRODYNAMICS?

1994 ◽  
Vol 09 (22) ◽  
pp. 4009-4028 ◽  
Author(s):  
E. C. MARINO
Keyword(s):  
Electromagnetic Field ◽  
Quantum Electrodynamics ◽  
Topological Charge ◽  
Invariant Operator ◽  
Gauge Invariant ◽  
Intensity Threshold ◽  
Topological Current ◽  
New States ◽  
Order Of Magnitude ◽  
Electrically Charged

We present a generalization of quantum electrodynamics (QED) in terms of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as a source for the electromagnetic field and the topological charge therefore acts physically as an electric charge. The charged states of QED lie in the sector where the topological charge is identical to the matter charge. The antisymmetric field theory, however, admits new sectors where the topological charge is more general. These nontrivial, electrically charged sectors contain massless states orthogonal to the vacuum which are created by a gauge-invariant operator and can be interpreted as coherent states of photons. We evaluate the correlation functions of these states in the absence of matter. The new states have a positive definite norm and do interact with the charged states of QED in the usual way. It is argued that if these new sectors are in fact realized in nature, then a very intense background electromagnetic field is necessary for their experimental observation. The order of magnitude of the intensity threshold is estimated. The value of the quantum of charge is also obtained.

scholarly journals TRANSVERSE-MOMENTUM-DEPENDENT PARTON DISTRIBUTIONS AT THE EDGE OF THE LIGHTCONE

2011 ◽  
Vol 04 ◽  
pp. 135-145 ◽  
Author(s):  
I. O. CHEREDNIKOV ◽  
N. G. STEFANIS
Keyword(s):  
Transverse Momentum ◽  
Invariant Operator ◽  
Parton Distributions ◽  
Gauge Invariant ◽  
Transverse Momentum Dependent ◽  
Tree Approximation ◽  
Definition Of ◽  
Consistent Treatment ◽  
Operator Definition ◽  
Soft Factors

We present a completely gauge-invariant operator definition of transverse-momentum-dependent parton densities (TMD), supplied with longitudinal lightlike gauge links as well as transverse gauge links at lightcone infinity. Within this framework, we consider the consistent treatment of specific divergences, emerging in the "unsubtracted" TMD beyond the tree approximation, and construct the soft factors to cancel unphysical singularities. We confront this approach with factorization schemes, which make use of covariant gauges with off-the-lightcone gauge links, and discuss their mutual connection.

scholarly journals COMPOSITE OPERATORS AND TOPOLOGICAL CONTRIBUTIONS IN GAUGE THEORY

2001 ◽  
Vol 16 (11) ◽  
pp. 679-684
Author(s):  
JUNGJAI LEE ◽  
YEONG DEOK HAN
Keyword(s):  
Gauge Theory ◽  
Partition Function ◽  
Gauge Field ◽  
Invariant Operator ◽  
Space Time ◽  
Kinetic Term ◽  
Gauge Invariant ◽  
Expectation Value ◽  
Composite Form ◽  
Chern Simons

In D-dimensional gauge theory with a kinetic term based on p-form tensor gauge field, we introduce a gauge-invariant operator associated with the composite form from an electric (p - 1)-brane and a magnetic (q - 1)-brane in D = p + q + 1 space–time dimensions. By evaluating the partition function of this operator, we show that the expectation value of this operator gives rise to the topological contributions identical to those in gauge theory with a topological Chern–Simons BF term.

One-loop divergences in anomaly-free non-Abelian axial models

2003 ◽  
Vol 81 (12) ◽  
pp. 1343-1347
Author(s):  
M P Gagné-Portelance ◽  
D.G.C. McKeon
Keyword(s):  
Axial Vector ◽  
Invariant Operator ◽  
Diagonal Element ◽  
Dimensional Model ◽  
Vector Coupling ◽  
Gauge Invariant ◽  
Axial Anomaly ◽  
Left Handed ◽  
Axial Vector Coupling ◽  
The Matrix

We consider one-loop divergences in a four-dimensional model in which a non-Abelian vector field has an axial vector coupling with a massless left-handed spinor field. This is done by computing the diagonal element of the second Seeley–deWitt coefficient a2(x,x). Even when the coupling is such that the axial anomaly vanishes, divergences arise that are not gauge invariant. Operator regularization is used throughout so as to leave the matrix γ5 unambiguously defined. PACS No.: 11.15.q

Sign in / Sign up

Export Citation Format

Share Document