Reformulation of the standard model in a generalized differential geometry on the discrete space M4×X2

2000 ◽  
Vol 41 (9) ◽  
pp. 6048-6059
Author(s):  
Yoshitaka Okumura ◽  
Kohei Mori
Keyword(s):  
Differential Geometry ◽  
Standard Model ◽  
Discrete Space ◽  
The Standard Model ◽  
Generalized Differential

scholarly journals A FIELD-THEORETIC APPROACH TO CONNES' GAUGE THEORY ON M4 × Z2

2001 ◽  
Vol 16 (19) ◽  
pp. 3203-3216 ◽  
Author(s):  
HIROMI KASE ◽  
KATSUSADA MORITA ◽  
YOSHITAKA OKUMURA
Keyword(s):  
Differential Geometry ◽  
Gauge Theory ◽  
Standard Model ◽  
Field Strength ◽  
Electric Charge ◽  
Theoretic Approach ◽  
Higgs Potential ◽  
Charge Quantization ◽  
Generation Number ◽  
The Standard Model

Connes' gauge theory on M4 × Z2 is reformulated in the Lagrangian level. It is pointed out that the field strength in Connes' gauge theory is not unique. We explicitly construct a field strength different from Connes' and prove that our definition leads to the generation-number independent Higgs potential. It is also shown that the nonuniqueness is related to the assumption that two different extensions of the differential geometry are possible when the extra one-form basis χ is introduced to define the differential geometry on M4 × Z2. Our reformulation is applied to the standard model based on Connes' color-flavor algebra. A connection between the unimodularity condition and the electric charge quantization is then discussed in the presence or absence of νR.

scholarly journals Violations of discrete space–time symmetries in chiral effective field theory

2016 ◽  
Vol 25 (05) ◽  
pp. 1641008 ◽  
Author(s):  
J. de Vries ◽  
Ulf-G. Meißner
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Effective Field Theory ◽  
Time Reversal ◽  
Discrete Symmetry ◽  
Space Time ◽  
Effective Field ◽  
Discrete Space ◽  
Chiral Effective Field Theory ◽  
The Standard Model

We review recent progress in the theoretical description of the violation of discrete space–time symmetries in hadronic and nuclear systems. We focus on parity-violating and time-reversal-conserving interactions which are induced by the Standard Model weak interaction, and on parity- and time-reversal-violating interactions which can be caused by a nonzero QCD [Formula: see text] term or by beyond-the-Standard Model physics. We discuss the origins of such interactions and review the development of the chiral effective field theory extension that includes discrete symmetry violations. We discuss the construction of symmetry-violating chiral Lagrangians and nucleon–nucleon potentials and their applications in few-body systems.

A DETAILED ACCOUNT OF ALAIN CONNES’ VERSION OF THE STANDARD MODEL IN NON-COMMUTATIVE DIFFERENTIAL GEOMETRY III

1996 ◽  
Vol 08 (01) ◽  
pp. 103-165 ◽  
Author(s):  
DANIEL KASTLER
Keyword(s):  
Differential Geometry ◽  
Standard Model ◽  
Tensor Product ◽  
Initial Treatment ◽  
Product Structure ◽  
Detailed Account ◽  
Classical Level ◽  
Noncommutative Differential Geometry ◽  
The Standard Model

We describe in detail Alain Connes’ last presentation of the (classical level of the) standard model in noncommutative differential geometry, now free of the cumbersome adynamical fields which parasited the initial treatment. Accessorily, the theory is presented in a more transparent way by systematic use of the skew tensor-product structure, and of 2×2 matrices with 2×2 matrix-entries instead of the previous 4×4 matrices.

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.

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