scholarly journals Particles with Identical Quantum Numbers in Dispersion Theory and Field Theory

1966 ◽  
Vol 152 (4) ◽  
pp. 1234-1243 ◽  
Author(s):  
Kyungsik Kang
Keyword(s):  
Field Theory ◽  
Dispersion Theory ◽  
Quantum Numbers ◽  
Identical Quantum

The Origin and Bifurcation of Disclinations in the Gauge Field Theory of Dislocation and Disclination Continuum

1998 ◽  
Vol 12 (25) ◽  
pp. 2599-2617 ◽  
Author(s):  
Guo-Hong Yang ◽  
Yishi Duan
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Implicit Function Theorem ◽  
Taylor Expansion ◽  
Gauge Field Theory ◽  
Implicit Function ◽  
Quantum Numbers ◽  
Topological Quantum ◽  
Topological Current ◽  
Limit Points

In the 4-dimensional gauge field theory of dislocation and disclination continuum, the topological current structure and the topological quantization of disclinations are approached. Using the implicit function theorem and Taylor expansion, the origin and bifurcation theories of disclinations are detailed in the neighborhoods of limit points and bifurcation points, respectively. The branch solutions at the limit points and the different directions of all branch curves at 1-order and 2-order degenerated points are calculated. It is pointed out that an original disclination point can split into four disclinations at one time at most. Since the disclination current is identically conserved, the total topological quantum numbers of these branched disclinations will remain constant during their origin and bifurcation processes. Furthermore, one can see the fact that the origin and bifurcation of disclinations are not gradual changes but sudden changes. As some applications of the proposal theory, two examples are presented in the paper.

The Norms of Multimass States in Relativistic Quantum Field Theory

1974 ◽  
Vol 52 (20) ◽  
pp. 1988-1994 ◽  
Author(s):  
Roger Palmer ◽  
Yasushi Takahashi
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Relativistic Quantum ◽  
Bound State ◽  
Quantum Field ◽  
Relativistic Quantum Field Theory ◽  
Negative Norm ◽  
Quantum Numbers ◽  
Multimass System ◽  
Dynamical Origin

We examined the problem of the appearance of negative norm states in multimass models. It is shown explicitly how the bound state with the same quantum numbers as the elementary meson, can acquire the positive norm. It is inferred from our argument that the multimass system of dynamical origin can be quantized without the negative norm, contrary to the multimass system of kinematical origin.

scholarly journals The Fröhlich-Morchio-Strocchi mechanism and quantum gravity

2020 ◽  
Vol 8 (4) ◽  
Author(s):  
Axel Maas
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Degrees Of Freedom ◽  
Quantum Field ◽  
Yang Mills ◽  
Guiding Principle ◽  
Quantum Numbers ◽  
Gravity Fields ◽  
Physical Spectrum ◽  
Physical Objects

Taking manifest invariance under both gauge symmetry and diffeomorphisms as a guiding principle physical objects are constructed for Yang-Mills-Higgs theory coupled to quantum gravity. These objects are entirely classified by quantum numbers defined in the tangent space. Applying the Fröhlich-Morchio-Strocchi mechanism to these objects reveals that they coincide with ordinary correlation functions in quantum-field theory, if quantum fluctuations of gravity and curvature become small. Taking these descriptions literally exhibits how quantum gravity fields need to dress quantum fields to create physical objects, i. e. giving a graviton component to ordinary observed particles. The same mechanism provides access to the physical spectrum of pure gravitational degrees of freedom.

Comments on the compositeness conditions for particles with identical quantum numbers

1968 ◽  
Vol 57 (4) ◽  
pp. 746-752
Author(s):  
K. Hayashi ◽  
M. Hirayama ◽  
N. Seto ◽  
T. Shirafuji
Keyword(s):  
Quantum Numbers ◽  
Identical Quantum

scholarly journals MASSIVE-CONFORMAL DICTIONARY

1994 ◽  
Vol 09 (32) ◽  
pp. 5753-5767 ◽  
Author(s):  
EZER MELZER
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Bethe Ansatz ◽  
Finite Volume ◽  
Energy Levels ◽  
Infinite Volume ◽  
Minimal Models ◽  
Combinatorial Interpretation ◽  
Conformal Field ◽  
Quantum Numbers

The finite-volume spectrum of an integrable massive perturbation of a rational conformal field theory interpolates between massive multiparticle states in infinite-volume (IR limit) and conformal states, which are approached at zero volume (UV limit). Each state is labeled in the IR by a set of “Bethe-ansatz quantum numbers,” while in the UV limit it is characterized primarily by the conformal dimensions of the conformal field creating it. We present explicit conjectures for the UV conformal dimensions corresponding to any IR state in the ϕ1, 3-perturbed minimal models ℳ(2, 5) and ℳ(3, 5). The conjectures, which are based on a combinatorial interpretation of the Rogers-Ramanujan-Schur identities, are consistent with numerical results obtained previously for low-lying energy levels.

scholarly journals Elastic positivity vs extremal positivity bounds in SMEFT: a case study in transversal electroweak gauge-boson scatterings

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Kimiko Yamashita ◽  
Cen Zhang ◽  
Shuang-Yong Zhou
Keyword(s):  
Field Theory ◽  
Gauge Boson ◽  
Precise Determination ◽  
Effective Field ◽  
Quantum Numbers ◽  
Electroweak Gauge Boson ◽  
The Standard Model ◽  
Gauge Boson Couplings

Abstract The positivity bounds, derived from the axiomatic principles of quantum field theory (QFT), constrain the signs of Wilson coefficients and their linear combinations in the Standard Model Effective Field Theory (SMEFT). The precise determination of these bounds, however, can become increasingly difficult as more and more SM modes and oper- ators are taken into account. We study two approaches that aim at obtaining the full set of bounds for a given set of SM fields: 1) the traditional elastic positivity approach, which exploits the elastic scattering amplitudes of states with arbitrarily superposed helicities as well as other quantum numbers, and 2) the newly proposed extremal positivity approach, which constructs the allowed coefficient space directly by using the extremal representation of convex cones. Considering the electroweak gauge-bosons as an example, we demonstrate how the best analytical and numerical positivity bounds can be obtained in several ways. We further compare the constraining power and the efficiency of various approaches, as well as their applicability to more complex problems. While the new extremal approach is more constraining by construction, we also find that it is analytically easier to use, nu- merically much faster than the elastic approach, and much more applicable when more SM particle states and operators are taken into account. As a byproduct, we provide the best positivity bounds on the transversal quartic-gauge-boson couplings, required by the axiomatic principles of QFT, and show that they exclude ≈ 99.3% of the parameter space currently being searched at the LHC.

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