Quantization in Astrophysics, Brownian Motion, and Supersymmetry

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Is there a Scaled up Variant of Hadron Physics at 0. Are Neutrinos Superluminal? And What about p-adic Manifold? On New Findings about High-temperature Superconductors. Participated about 9 conferences in field of particle physics and mathematical physics. Invited lecturer in a workshop organized by Einstein-Laboratory in connection with the centennary celebrations of Erwin Shrandouml;dinger at Potsdam. Invited lecture in a conference andquot;N.

Lobachevskii and Modern Geometryandquot; held in Kazan Invited member in Russian Gravitational Organization. Active participation in various discussion groups related to consciousness and new physics, in particular Quantum-Mind discussion group founded by Stuart Hameroff.

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Homepage "Topological Geometrodynamics" containing 17 online books about TGD and numerous online articles. Blog "TGD diary" containing about postings.

Mod-02 Lec-15 Many-particle Hamiltonian & Schrodinger Equation in 2nd Quantization

See The latest probress in TGD. Membership in the board of Journal of Consciousness Exploration and Research. Membership in the board of Wasiwaska: Research Centre for the study of psychointegrator plants, visionary art and consciousness. These operators encapsulate the effects on LHC physics of any kind of new degrees of freedom at the multiTeV scale. The effective analysis includes the case where the multiTeV physics is the supersymmetry breaking sector itself.

In that case the appropriate framework is nonlinear supersymmetry. We choose to realize the nonlinear symmetry by the method of constrained superfields.

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Beyond the new effective couplings, the analysis suggests an interpretation of the 'little hierarchy problem' as an indication of new physics at multiTeV scale. In the second part we explore the power of constrained superfields in extended supersymmetry. The constructed theory enjoys interesting features, including a novel super-Higgs mechanism without gravity.

Supersymmetric Sneutrino-Higgs inflation. It is shown that in the phenomenologically realistic supersymmetric MSSM theory, a linear combination of the neutral, up Higgs field with the third family left- and right-handed sneutrinos can play the role of the cosmological inflaton.

Assuming that supersymmetry is softly broken at a mass scale of order , the potential energy associated with this field allows for 60 e-foldings of inflation with the cosmological parameters being consistent with all Planck data. The theory does not require any non-standard coupling to gravity and the physical fields are all sub-Planckian during the inflationary epoch.

Constrained exceptional supersymmetric standard model. Two-parameter double-oscillator model of Mathews-Lakshmanan type: Series solutions and supersymmetric partners. Schulze-Halberg, Axel, E-mail: axgeschu iun. We obtain series solutions, the discrete spectrum, and supersymmetric partners for a quantum double-oscillator system. Its potential features a superposition of the one-parameter Mathews-Lakshmanan interaction and a one-parameter harmonic or inverse harmonic oscillator contribution. Structure of UV divergences in maximally supersymmetric gauge theories.

We trace how the leading, subleading, etc divergences appear in all orders of perturbation theory. The structure of these divergences is typical for any local quantum field theory independently on renormalizability. We show how the generalized renormalization group equations allow one to evaluate the leading, subleading, etc. We focus then on subtraction scheme dependence of the results and show that in full analogy with renormalizable theories the scheme dependence can be absorbed into the redefinition of the couplings. The only difference is that the role of the couplings play dimensionless combinations like g2s2 or g2t2, where s and t are the Mandelstam variables.

Supersymmetric leptogenesis with a light hidden sector. Supersymmetric scenarios incorporating thermal leptogenesis as the origin of the observed matter-antimatter asymmetry generically predict abundances of the primordial elements which are in conflict with observations.

In this paper we propose a simple way to circumvent this tension and accommodate naturally thermal leptogenesis and primordial nucleosynthesis. We postulate the existence of a light hidden sector, coupled very weakly to the Minimal Supersymmetric Standard Model, which opens up new decay channels for the next-to-lightest supersymmetric particle, thus diluting its abundance during nucleosynthesis.

We present a general model-independent analysis of this mechanism as well as two concrete realizations, and describe the relevant cosmological and astrophysical bounds and implications for this dark matter scenario. Possible experimental signatures at colliders and in cosmic-ray observations are also discussed. Least supersymmetric signals at the LHC. We study the implications at the LHC for the minimal least version of the supersymmetric standard model. In this model, supersymmetry is broken by gravity and extra gauge interaction effects, providing a spectrum similar in several aspects to that in natural supersymmetric scenarios.

Having the first two generations of sparticles partially decoupled means that any significant signal can only involve gauginos and the third family of sfermions. In practice, the signals are dominated by gluino production with subsequent decays into the stop sector. Supersymmetric asymptotic safety is not guaranteed. It was recently shown that certain perturbatively accessible, non- supersymmetric gauge-Yukawa theories have UV asymptotic safety, without asymptotic freedom: the UV theory is an interacting RG fixed point, and the IR theory is free.

We here investigate the possibility of asymptotic safety in supersymmetric theories, and use unitarity bounds, and the a-theorem, to rule it out in broad classes of theories. The arguments apply without assuming perturbation theory.

Quantization in Astrophysics, Brownian Motion, and Supersymmetry: Including - Google Books

Therefore, the UV completion of a non-asymptotically free susy theory must have additional, non-obvious degrees of freedom, such as those of an asymptotically free perhaps magnetic dual extension. Supersymmetric Casimir energy and the anomaly polynomial. The equivariant integration is defined with respect to the Cartan subalgebra of the global symmetry algebra that commutes with a given supercharge.

We test our proposal extensively by computing the supersymmetric Casimir energy for large classes of superconformal field theories, with and without known Lagrangian descriptions, in two, four and six dimensions. A supersymmetric SYK-like tensor model. We prove that the model has a well-defined large-N limit in which the s quark 2-point functions are dominated by mesonic ''melon'' diagrams.

We sum these diagrams to obtain the Schwinger-Dyson equations and show that in the IR, the solution agrees with that of the supersymmetric SYK model. There are specific terms in the effective action having no four-dimensional analogs. Some of these terms are responsible for the moduli space metric in the Coulomb branch of the theory. Couplings in renormalizable supersymmetric SO 10 models. Supersymmetric integrable theories without particle production. We consider a theory of scalar superfields in two dimensions with arbitrary superpotential. By imposing no particle production in tree-level scattering, we constrain the form of the admissible interactions, recovering a supersymmetric extension of the sinh-Gordon model.

Computing Maximally Supersymmetric Scattering Amplitudes. After a brief introduction and overview in Ch. This includes several new concepts such as d log and pure integrand bases, as well as how to construct the amplitude using exactly one kinematic point where it vanishes. Also included in this chapter is an outline of the Mathematica package on shell diagrams and numerics. The rest of the dissertation is devoted to explicit examples.

In Ch. These residues are shown to have corresponding residue numerators that allow a double copy prescription that results in mSUGRA residues. The two-loop five-point amplitude is also presented in a pure integrand representation with comments on how it was constructed from one homogeneous cut of the amplitude. On-going work on the two-loop n-point amplitude is presented at the end of Ch. Taken with the previous examples, this is additional evidence that the structure known to exist in the planar sector extends to the full theory.

Analysis of Ward identities in supersymmetric Yang-Mills theory. In numerical investigations of supersymmetric Yang-Mills theory on a lattice, the supersymmetric Ward identities are valuable for finding the critical value of the hopping parameter and for examining the size of supersymmetry breaking by the lattice discretisation. In this article we present an improved method for the numerical analysis of supersymmetric Ward identities, which takes into account the correlations between the various observables involved.

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Statistical effects in large N supersymmetric gauge theories. This thesis discusses statistical simplifications arising in supersymmetric gauge theories in the limit of large rank. Applications involve the physics of black holes and the problem of predicting the low energy effective theory from a landscape of string vacua. We establish that in the large charge sector of toric quiver gauge theories there exists a typical state whose structure is closely mimicked by almost all other states.

Finally, we argue on general grounds that these conclusions are exponentially enhanced in quantum cosmological settings. The results establish that one may consistently account for the entropy of a black hole with heavy states in the dual field theory and suggest that the usual properties of black holes arise as artifacts of imposing a semiclassical description on a quantum system.


In the second half we develop new tools to determine the infrared behavior of quiver gauge theories in a certain class. We apply the dynamical results to a toy model of the landscape of effective field theories defined at some high energy scale, and derive firm statistical predictions for the low energy effective theory. Supersymmetric Transformations in Optical Fibers. Supersymmetry SUSY has recently emerged as a tool to design unique optical structures with degenerate spectra. Here, we study several fundamental aspects and variants of one-dimensional SUSY in axially symmetric optical media, including their basic spectral features and the conditions for degeneracy breaking.

Surprisingly, we find that the SUSY degeneracy theorem is partially totally violated in optical systems connected by isospectral broken SUSY transformations due to a degradation of the paraxial approximation. In addition, we show that isospectral constructions provide a dimension-independent design control over the group delay in SUSY fibers. These singular features define a class of optical fibers with a number of potential applications. To illustrate this, we numerically demonstrate the possibility of building photonic lanterns supporting broadband heterogeneous supermodes with large effective area, a broadband all-fiber true-mode de multiplexer requiring no mode conversion, and different mode-filtering, mode-conversion, and pulse-shaping devices.

Finally, we discuss the possibility of extrapolating our results to acoustics and quantum mechanics. Phenomenology of the utilitarian supersymmetric standard model. We study the specific version of the proposed U 1 X extension of the supersymmetric standard model, which has no mu term and conserves baryon number and lepton number separately and automatically. We consider in detail the scalar sector as well as the extra Z X gauge boson, and their interactions with the necessary extra color-triplet particles of this model, which behave as leptoquarks.

We show how the diphoton excess at GeV, recently observed at the LHC, may be explained within this context. We identify a new fermion dark-matter candidate and discuss its properties.

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Supersymmetric contributions to weak decay correlation coefficients. In the minimal supersymmetric standard model MSSM , one-loop box graphs containing superpartners can give rise to non- V-Ax V-A four-fermion operators in the presence of left-right or flavor mixing between sfermions.