FERMION QUANTUM FIELD THEORY WITH A NEW GAUGE SYMMETRY, RELATED TO A PSEUDOSCALAR-CONSERVED-CHARGE VARIETY

1996 ◽  
Vol 11 (12) ◽  
pp. 2081-2109 ◽  
Author(s):  
G. ZIINO

Massive chiral fields, “left-handed” for fermions and “right-handed” for antifermions, are shown to be a natural prediction of a new approach to the Dirac field theory which in the zero-mass limit spontaneously yields Weyl’s two-component scheme. Such an approach gives an improved theoretical framework to the “standard model”: It accounts for (and clarifies the origin of) the “P-violation” effect, without needing any ad-hoc external prescriptions. A double-faced—either “Dirac” or “chiral” — model of a massive spin[Formula: see text] fermion is involved, due to the internal coexistence of two anticommuting—scalar and pseudoscalar—varieties of charges, the former being responsible for “P-conserving” processes and the latter for “P-violating” ones. The resulting scheme, besides naturally embodying the P-violation effect, leads paradoxically to a retrieval of parity symmetry itself: owing to the anticommutivity property of the above coexisting charge varieties, a chiral fermion is predicted to be the same as a mere pseudoscalar-charge particle, and the ordinary CP mirror image of the weak-isospin fermionic current may now become the true P mirror image of it. On these grounds a suitable generalized field formalism is built, which turns out to be endowed also with chiral gauge invariance, in spite of the presence of mass. Such novel global gauge symmetry is shown to express pseudoscalar-charge conservation; its local extension is seen to yield a “minimal” coupling, which could in particular apply to magnetic-monopole dynamics.

1993 ◽  
Vol 08 (11) ◽  
pp. 1011-1020 ◽  
Author(s):  
A. O. BARUT ◽  
G. ZIINO

The neutrino problem is set anew in the light of a reformulation of the Dirac field theory that provides a natural account for the effect commonly interpreted as 'P-violation', and restores P-mirror symmetry. A two-component (left-handed) neutrino field is automatically derived, whose P-mirror image does not correspond to a 'missing' particle but is the (right-handed) antineutrino field.


2018 ◽  
Author(s):  
Abdallah Dabboussi ◽  
Jaafar Gaber ◽  
Maxime Wack ◽  
Raed Kouta ◽  
Bachar EL Hassan ◽  
...  

Author(s):  
Stefan Hollands

AbstractWe introduce a new approach to find the Tomita–Takesaki modular flow for multi-component regions in general chiral conformal field theory. Our method is based on locality and analyticity of primary fields as well as the so-called Kubo–Martin–Schwinger (KMS) condition. These features can be used to transform the problem to a Riemann–Hilbert problem on a covering of the complex plane cut along the regions, which is equivalent to an integral equation for the matrix elements of the modular Hamiltonian. Examples are considered.


Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 956
Author(s):  
Dafne Carolina Arias-Perdomo ◽  
Adriano Cherchiglia ◽  
Brigitte Hiller ◽  
Marcos Sampaio

Quantum Field Theory, as the keystone of particle physics, has offered great insights into deciphering the core of Nature. Despite its striking success, by adhering to local interactions, Quantum Field Theory suffers from the appearance of divergent quantities in intermediary steps of the calculation, which encompasses the need for some regularization/renormalization prescription. As an alternative to traditional methods, based on the analytic extension of space–time dimension, frameworks that stay in the physical dimension have emerged; Implicit Regularization is one among them. We briefly review the method, aiming to illustrate how Implicit Regularization complies with the BPHZ theorem, which implies that it respects unitarity and locality to arbitrary loop order. We also pedagogically discuss how the method complies with gauge symmetry using one- and two-loop examples in QED and QCD.


Electronics ◽  
2021 ◽  
Vol 10 (6) ◽  
pp. 739
Author(s):  
Nicholas Ayres ◽  
Lipika Deka ◽  
Daniel Paluszczyszyn

The vehicle-embedded system also known as the electronic control unit (ECU) has transformed the humble motorcar, making it more efficient, environmentally friendly, and safer, but has led to a system which is highly dependent on software. As new technologies and features are included with each new vehicle model, the increased reliance on software will no doubt continue. It is an undeniable fact that all software contains bugs, errors, and potential vulnerabilities, which when discovered must be addressed in a timely manner, primarily through patching and updates, to preserve vehicle and occupant safety and integrity. However, current automotive software updating practices are ad hoc at best and often follow the same inefficient fix mechanisms associated with a physical component failure of return or recall. Increasing vehicle connectivity heralds the potential for over the air (OtA) software updates, but rigid ECU hardware design does not often facilitate or enable OtA updating. To address the associated issues regarding automotive ECU-based software updates, a new approach in how automotive software is deployed to the ECU is required. This paper presents how lightweight virtualisation technologies known as containers can promote efficient automotive ECU software updates. ECU functional software can be deployed to a container built from an associated image. Container images promote efficiency in download size and times through layer sharing, similar to ECU difference or delta flashing. Through containers, connectivity and OtA future software updates can be completed without inconveniences to the consumer or incurring expense to the manufacturer.


Universe ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. 171
Author(s):  
Folkert Kuipers ◽  
Xavier Calmet

In this paper, we discuss singularity theorems in quantum gravity using effective field theory methods. To second order in curvature, the effective field theory contains two new degrees of freedom which have important implications for the derivation of these theorems: a massive spin-2 field and a massive spin-0 field. Using an explicit mapping of this theory from the Jordan frame to the Einstein frame, we show that the massive spin-2 field violates the null energy condition, while the massive spin-0 field satisfies the null energy condition, but may violate the strong energy condition. Due to this violation, classical singularity theorems are no longer applicable, indicating that singularities can be avoided, if the leading quantum corrections are taken into account.


1996 ◽  
Vol 10 (13n14) ◽  
pp. 1695-1705 ◽  
Author(s):  
S. Ansoldi ◽  
A. Aurilia ◽  
E. Spallucci

We study a functional field theory of membranes coupled to a rank-three tensor gauge potential. We show that gauge field radiative corrections lead to membrane condensation which turns the gauge field into a massive spin-0 field. This is the Coleman-Weinberg mechanism for membranes. An analogy is also drawn with a type-II superconductor. The ground state of the system consists of a two-phase medium in which the superconducting background condensate is “pierced” by four-dimensional domains, or “bags”, of non-superconducting vacuum. Bags are bounded by membranes whose physical thickness is of the order of the inverse mass acquired by the gauge field.


Development ◽  
1991 ◽  
Vol 111 (2) ◽  
pp. 337-356
Author(s):  
X.B. Shi ◽  
Z.I. Qiu ◽  
W. He ◽  
J. Frankel

Stylonychia mytilus is a dorsoventrally flattened ciliate with compound ciliary structures arranged in a specific manner on the cell surface. In mirror-image (MI) doublets of this ciliate, two nearly complete sets of ciliary structures are arrayed side-by-side, one in a normal or ‘right-handed’ (RH) arrangement, the other in a reversed or ‘left-handed’ (LH) arrangement. MI-doublets exist in two forms, one with the RH component on the right, the LH component on the left, and feeding structures near the center (‘buccal-adjoining MI-doublet’); the other with the RH component on the left, the LH component on the right, and feeding structures on the lateral edges (‘buccal-opposing MI-doublet’). We describe an operation that can generate either type of MI-doublet. This operation interchanges large anterior and posterior regions of the cell, transposing the original posterior region anteriorly (P—A) and the original anterior region posteriorly (A—P), while retaining the original anteroposterior polarity of each region. Two sets of new ciliary structures then are formed in mirror-image arrangement, with the set in the P—A region oriented normally and the set in the A—P region undergoing a reversal of polarity along its anteroposterior axis. This sometimes creates end-to-end MI forms, but more commonly produces side-by-side MI-doublets through a folding together of the P—A and A—P regions. This folding occurs because one lateral edge of the cell had been removed during the operation; if the left edge was removed, the complex folds to the left and forms a buccal-adjoining MI-doublet, whereas if the right edge was removed, the complex folds to the right and forms a buccal-opposing MI-doublet. Both types can reorganize and later divide true-to-type, although the ‘buccal-opposing’ type is by far the more stable of the two. The generation of mirror-image forms is dependent on the prior abnormal juxtaposition of regions from opposite ends of the cell, and involves a coordinated respecification of large-scale organization. We interpret this response to be a consequence of intercalation of missing intervening positional values in the zone of posterior-anterior abutment.


In our previous papers, a new Ant Routing Protocol for Ad-hoc Networks inspired from ant colony optimization was presented. We introduced a new approach which decreases both of nodes energy consumption and routing overhead within the network. The validation of our routing protocol was based on series of simulation. The results show that our new algorithm provides a significant improvement compared to other protocols. After the algorithm is defined and published, we have found important to validate formally each one of its components in order to avoid any conflict, lack or misbehaving situations. This process requires in a first step a formal specification. This is our main concern in this paper where we propose in a first part a formal specification using inference systems based on logical rules. A formal validation using these inference systems is proposed in a second step in order to prove the correctness, the soundness, the completeness and the optimality of the proposition.


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