scholarly journals Mathematical Tools to Understand the Field Theories of the Standard Model and Beyond

2021 ◽  
Vol 15 ◽  
pp. 54-61
Author(s):  
Philippe Durand
Keyword(s):  
Standard Model ◽  
Loop Quantum Gravity ◽  
Physical World ◽  
Spectral Geometry ◽  
Three Dimensions ◽  
Topological Invariants ◽  
Lorentzian Space ◽  
Four Dimensions ◽  
Isaac Newton ◽  
The Standard Model

Since Isaac Newton the understanding of the physical world is more and more complex. The Euclidean space of three dimensions , independent of time is replaced in Enstein’s vision by the Lorentzian space-time at first, then by four dimensions manifold to unify space and matter. String theorists add to space more dimensions to make their theory consistent. Complex topological invariants which characterize different kind of spaces are developed. Space is discretized at the quantum scale in the loop quantum gravity theory. A non-commutative and spectral geometry is defined from the theory of operator algebra by Alain Connes. In this review, our goal is to enumerate different approaches implementing algebra and topology in order to understand the standard model of particles and beyond

scholarly journals ANNIHILATION CROSS SECTIONS AND INTERACTION COUPLINGS OF THE DARK MATTER CANDIDATES IN THE WARPED AND FLAT EXTRA DIMENSIONS

2010 ◽  
Vol 25 (14) ◽  
pp. 1187-1197
Author(s):  
E. O. ILTAN
Keyword(s):  
Dark Matter ◽  
Standard Model ◽  
Cross Sections ◽  
Extra Dimension ◽  
Zero Mode ◽  
Higgs Field ◽  
Dark Matter Candidate ◽  
Effective Coupling ◽  
Four Dimensions ◽  
The Standard Model

We consider a scenario with an additional scalar standard model singlet ϕS, living in a single extra dimension of the RS1 background. The zero mode of this scalar which is localized in the extra dimension is a dark matter candidate and the annihilation cross section is strongly sensitive to its localization parameter. As a second scenario, we assume that the standard model Higgs field is accessible to the fifth flat extra dimension. At first we take the additional standard model singlet scalar field as accessible to the sixth extra dimension and its zero mode is a possible dark matter candidate. Second, we consider that the new standard model singlet, the dark matter candidate, lives in four dimensions. In both choices the KK modes of the standard model Higgs field play an observable role for the large values of the compactification radius R and the effective coupling λS is of the order of 10-2–10-1 (10-6) far from (near to) the resonant annihilation.

scholarly journals Spectral geometry for the standard model without fermion doubling

2020 ◽  
Vol 101 (7) ◽  
Author(s):  
Arkadiusz Bochniak ◽  
Andrzej Sitarz
Keyword(s):  
Standard Model ◽  
Spectral Geometry ◽  
The Standard Model

scholarly journals Conformal loop quantum gravity coupled to the standard model

2016 ◽  
Vol 34 (2) ◽  
pp. 02LT01 ◽  
Author(s):  
Miguel Campiglia ◽  
Rodolfo Gambini ◽  
Jorge Pullin
Keyword(s):  
Standard Model ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
The Standard Model

scholarly journals Gravity Loop Corrections to the Standard Model Higgs in Einstein Gravity

2017 ◽  
Vol 26 (3) ◽  
pp. 229 ◽  
Author(s):  
Masaatsu Horikoshi ◽  
Yugo Abe ◽  
Takeo Inami
Keyword(s):  
Standard Model ◽  
Quantum Gravity ◽  
Energy Region ◽  
Loop Quantum Gravity ◽  
Einstein Gravity ◽  
Mass Scale ◽  
Higgs Potential ◽  
Planck Mass ◽  
The Standard Model ◽  
The Stability

We study one-loop quantum gravity corrections to the standard model Higgs potential \(V(\phi) \grave{\rm a}\) la Coleman-Weinberg and examine the stability question of \(V(\phi) \) in the energy region of Planck mass scale, \(\mu\simeq M_{\rm Pl}\) \((M_{\rm Pl}=1.22\times10^{19}{\rm GeV})\). We calculate the gravity one-loop corrections to \(V(\phi)\) in Einstein gravity by using the momentum cut-off \(\Lambda\). We have found that even small gravity corrections compete with the standard model term of \(V(\phi)\) and affect the stability argument of the latter part alone. This is because the latter part is nearly zero in the energy region of \(M_{\rm Pl}\).

Indirect measurements in micro-space with the EM

1995 ◽  
Vol 53 ◽  
pp. 598-599
Author(s):  
Sterling P. Newberry
Keyword(s):  
Electron Microscope ◽  
Standard Model ◽  
Particle Physics ◽  
Information Storage ◽  
Storage Space ◽  
Indirect Measurements ◽  
Storage And Retrieval ◽  
Adequate Information ◽  
Compelling Reason ◽  
The Standard Model

At the 1958 meeting of our society, then known as EMSA, the author introduced the concept of microspace and suggested its use to provide adequate information storage space and the use of electron microscope techniques to provide storage and retrieval access. At this current meeting of MSA, he wishes to suggest an additional use of the power of the electron microscope.The author has been contemplating this new use for some time and would have suggested it in the EMSA fiftieth year commemorative volume, but for page limitations. There is compelling reason to put forth this suggestion today because problems have arisen in the “Standard Model” of particle physics and funds are being greatly reduced just as we need higher energy machines to resolve these problems. Therefore, any techniques which complement or augment what we can accomplish during this austerity period with the machines at hand is worth exploring.

An Interview with the Physicist that Her Head in the Universe and Both Feet on the Earth

2019 ◽  
Author(s):  
Adib Rifqi Setiawan
Keyword(s):  
Standard Model ◽  
Particle Physics ◽  
Space Time ◽  
Additional Dimension ◽  
The Earth ◽  
The Standard Model ◽  
The Universe

Put simply, Lisa Randall’s job is to figure out how the universe works, and what it’s made of. Her contributions to theoretical particle physics include two models of space-time that bear her name. The first Randall–Sundrum model addressed a problem with the Standard Model of the universe, and the second concerned the possibility of a warped additional dimension of space. In this work, we caught up with Randall to talk about why she chose a career in physics, where she finds inspiration, and what advice she’d offer budding physicists. This article has been edited for clarity. My favourite quote in this interview is, “Figure out what you enjoy, what your talents are, and what you’re most curious to learn about.” If you insterest in her work, you can contact her on Twitter @lirarandall.

An Interview with the Physicist that Her Head in the Universe and Both Feet on the Earth

2019 ◽  
Author(s):  
Adib Rifqi Setiawan
Keyword(s):  
Standard Model ◽  
Particle Physics ◽  
Space Time ◽  
Additional Dimension ◽  
The Earth ◽  
The Standard Model ◽  
The Universe

Put simply, Lisa Randall’s job is to figure out how the universe works, and what it’s made of. Her contributions to theoretical particle physics include two models of space-time that bear her name. The first Randall–Sundrum model addressed a problem with the Standard Model of the universe, and the second concerned the possibility of a warped additional dimension of space. In this work, we caught up with Randall to talk about why she chose a career in physics, where she finds inspiration, and what advice she’d offer budding physicists. This article has been edited for clarity. My favourite quote in this interview is, “Figure out what you enjoy, what your talents are, and what you’re most curious to learn about.” If you insterest in her work, you can contact her on Twitter @lirarandall.

Enhanced Attribute-Based Authenticated Key Agreement Protocol in the Standard Model

2014 ◽  
Vol 36 (10) ◽  
pp. 2156-2167
Author(s):  
Qiang LI ◽  
Deng-Guo FENG ◽  
Li-Wu ZHANG ◽  
Zhi-Gang GAO
Keyword(s):  
Standard Model ◽  
Key Agreement ◽  
Authenticated Key Agreement ◽  
Key Agreement Protocol ◽  
The Standard Model
Sign in / Sign up

Export Citation Format

Share Document