Second-class constraints and quantization on the light cone

1986 ◽  
Vol 64 (5) ◽  
pp. 549-550 ◽  
Author(s):  
Gerry McKeon
Keyword(s):  
Light Cone ◽  
Radiative Corrections ◽  
Quantization Procedure ◽  
Effective Lagrangian ◽  
Ghost Field ◽  
Lightlike Vector

Quantization on a surface orthogonal to a fixed lightlike vector leads to a set of second-class constraints in addition to the usual first-class constraints encountered in the conventional quantization procedure. This leads to an additional ghost field in the effective Lagrangian, but it is argued that this ghost field decouples in any computation of radiative corrections and does not enter the Becchi–Rouet–Stora identities.

PERTURBATIVE EXPANSION FOR THE t-J MODEL CONSTRUCTED FROM THE GENERATORS OF THE SUPERSYMMETRIC HUBBARD ALGEBRA

2009 ◽  
Vol 23 (14) ◽  
pp. 3159-3177
Author(s):  
CARLOS E. REPETTO ◽  
OSCAR P. ZANDRON
Keyword(s):  
Perturbative Expansion ◽  
Lagrangian Formalism ◽  
Graded Algebra ◽  
Integral Formalism ◽  
Generating Functional ◽  
First Order ◽  
Effective Lagrangian ◽  
Supersymmetric Version ◽  
Present Formalism ◽  
Ghost Field

By using the Hubbard [Formula: see text]-operators as field variables along with the supersymmetric version of the Faddeev–Jackiw symplectic formalism, a family of first-order constrained Lagrangians for the t-J model is found. In order to satisfy the Hubbard [Formula: see text]-operator commutation rules satisfying the graded algebra spl(2,1), the number and kind of constraints that must be included in a classical first-order Lagrangian formalism for this model are presented. The model is also analyzed via path-integral formalism, where the correlation-generating functional and the effective Lagrangian are constructed. In this context, the introduction of a proper ghost field is needed to render the model renormalizable. The perturbative Lagrangian formalism is developed and it is shown how propagators and vertices can be renormalized to each order. In particular, the renormalized ferromagnetic magnon propagator arising in the present formalism is discussed. As an example, the thermal softening of the magnon frequency is computed.

Photoproduction of Gravitational Radiation in Static Electromagnetic Fields. Radiative Corrections

1975 ◽  
Vol 53 (20) ◽  
pp. 2315-2320 ◽  
Author(s):  
G. Papini ◽  
S. -R. Valluri
Keyword(s):  
Cross Section ◽  
Gravitational Radiation ◽  
Low Energy ◽  
Radiative Corrections ◽  
Third Order ◽  
The Third ◽  
Relativistic Approximation ◽  
Effective Lagrangian ◽  
Charge Renormalization ◽  
Made In

The radiative corrections of second and third order for the process of photoproduction of gravitons in Coulomb and magnetic dipole fields have been calculated.All divergences have been removed either by charge renormalization or regularization. No approximations have been made in the calculation of the second order cross section. In the third order calculation only the extreme relativistic approximation is given. The forms of the effective Lagrangian, corresponding to the low energy approximations have been determined.

scholarly journals PHOTON-NEUTRINO INTERACTIONS IN STRONG MAGNETIC FIELD

2002 ◽  
Vol 17 (39) ◽  
pp. 2553-2562 ◽  
Author(s):  
M. V. CHISTYAKOV ◽  
N. V. MIKHEEV
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Neutrino Interaction ◽  
Radiative Corrections ◽  
Neutrino Interactions ◽  
Two Photon ◽  
Effective Lagrangian ◽  
Comparison Of The Results

The two-photon two-neutrino interaction induced by magnetic field is investigated. In particular the processes [Formula: see text] and [Formula: see text] are studied in the presence of strong magnetic field. An effective Lagrangian and partial amplitudes of the processes are presented. Neutrino emissivities due to the reactions [Formula: see text] and [Formula: see text] are calculated taking into account the photon dispersion and large radiative corrections. A comparison of the results obtained with previous estimations and another inducing mechanisms of the processes under consideration is made.

scholarly journals Mass Mixing Effect and Oblique Radiative Corrections in ExtendedSU(2)R×SU(2)L×U(1)Effective Theory

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
Ying Zhang
Keyword(s):  
Gauge Group ◽  
Effective Theory ◽  
Radiative Corrections ◽  
Gauge Bosons ◽  
Mixing Effect ◽  
Effective Lagrangian ◽  
Physical Mass ◽  
Mixing Matrix

We analyze the properties of electroweak chiral effective Lagrangian with an extendedSU(2)Rgauge group. Right-handedSU(2)Rgauge bosons affect electroweak observables by mixing with electroweak gauge bosonsWL,μandBμ. We discuss all possible mass mixing terms and calculate the exact physical mass eigenvalues by diagonalization of mixing matrix without any approximate assumptions. The contributions to oblique radiative corrections parameters STU fromSU(2)Rfields are also presented.

scholarly journals IMPACT OF THE BOUNDS ON HIGGS MASS AND mW ON EFFECTIVE THEORIES

2000 ◽  
Vol 15 (21) ◽  
pp. 1377-1384 ◽  
Author(s):  
J. L. DIAZ-CRUZ ◽  
J. M. HERNANDEZ ◽  
J. J. TOSCANO
Keyword(s):  
Higgs Mass ◽  
New Physics ◽  
Precise Determination ◽  
Lagrangian Approach ◽  
Radiative Corrections ◽  
Effective Parameters ◽  
Effective Lagrangian ◽  
Effective Theories

We study the inter-relations that exist between the present experimental bounds on the Higgs mass, as obtained from radiative corrections to mW, and the effective parameters, αi and Λ. We find that the SM bounds on mH, arising from a precise determination of the W mass, can be substantially modified by the presence of dimension-six operators which appear in the linear realization of the effective Lagrangian approach. A Higgs mass as heavy as 700 GeV can be allowed for scales of new physics of the order of 1 TeV.

scholarly journals CURRENT ALGEBRA APPROACH TO HEAVY TOP EFFECTS IN δρ

1995 ◽  
Vol 10 (09) ◽  
pp. 1377-1392 ◽  
Author(s):  
GIUSEPPE DEGRASSI ◽  
SERGIO FANCHIOTTI ◽  
PAOLO GAMBINO
Keyword(s):  
Current Algebra ◽  
Lagrangian Method ◽  
Charged Current ◽  
Radiative Corrections ◽  
Effective Lagrangian ◽  
Algebra Approach ◽  
Text Correction ◽  
Top Mass

The [Formula: see text] correction to the ρ parameter is computed using the current algebra formulation of radiative corrections. This approach is proved to be equivalent to the effective Lagrangian method proposed by Barbieri et al. The same framework is then applied to the calculation of the [Formula: see text] correction to the ratio of neutral-to-charged-current amplitudes in an SU(2) model. In this model the [Formula: see text] contribution is shown to be numerically comparable to the leading [Formula: see text] term for realistic values of the top mass.

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