# On whole Abelian model dynamics

## Abstract

Physics challenge is to determine the objects dynamics. However, there are two ways for deciphering the part. The first one is to search for the ultimate constituents; the second one is to understand its behaviour in whole terms. Therefore, the parts can be defined either from elementary constituents or as whole functions. Historically, science has been moving through the first aspect, however, quarks confinement and complexity are interrupting this usual approach. These relevant facts are supporting for a systemic vision be introduced. Our effort here is to study on the whole meaning through gauge theory. Consider a systemic dynamics oriented through the U(1) - systemic gauge parameter which function is to collect a fields set {l_brace}A{sub {mu}I}{r_brace}. Derive the corresponding whole gauge invariant Lagrangian, equations of motion, Bianchi identities, Noether relationships, charges and Ward-Takahashi equations. Whole Lorentz force and BRST symmetry are also studied. These expressions bring new interpretations further than the usual abelian model. They are generating a systemic system governed by 2N+ 10 classical equations plus Ward-Takahashi identities. A whole dynamics based on the notions of directive and circumstance is producing a set determinism where the parts dynamics are inserted in the whole evolution. A dynamics based onmore »

- Authors:

- CBPF, Rio de Janeiro (Brazil)
- (Brazil)

- Publication Date:

- OSTI Identifier:
- 22075574

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1483; Journal Issue: 1; Conference: 6. international school on field theory and gravitation 2012, Petropolis, RJ (Brazil), 23-27 Apr 2012; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BAG MODEL; EQUATIONS OF MOTION; GAUGE INVARIANCE; LAGRANGIAN FIELD THEORY; LAGRANGIAN FUNCTION; LORENTZ FORCE; QUANTUM FIELD THEORY; U-1 GROUPS; UNITARY SYMMETRY; WARD IDENTITY

### Citation Formats

```
Chauca, J., Doria, R., and Aprendanet, Petropolis, 25600.
```*On whole Abelian model dynamics*. United States: N. p., 2012.
Web. doi:10.1063/1.4756980.

```
Chauca, J., Doria, R., & Aprendanet, Petropolis, 25600.
```*On whole Abelian model dynamics*. United States. doi:10.1063/1.4756980.

```
Chauca, J., Doria, R., and Aprendanet, Petropolis, 25600. Mon .
"On whole Abelian model dynamics". United States. doi:10.1063/1.4756980.
```

```
@article{osti_22075574,
```

title = {On whole Abelian model dynamics},

author = {Chauca, J. and Doria, R. and Aprendanet, Petropolis, 25600},

abstractNote = {Physics challenge is to determine the objects dynamics. However, there are two ways for deciphering the part. The first one is to search for the ultimate constituents; the second one is to understand its behaviour in whole terms. Therefore, the parts can be defined either from elementary constituents or as whole functions. Historically, science has been moving through the first aspect, however, quarks confinement and complexity are interrupting this usual approach. These relevant facts are supporting for a systemic vision be introduced. Our effort here is to study on the whole meaning through gauge theory. Consider a systemic dynamics oriented through the U(1) - systemic gauge parameter which function is to collect a fields set {l_brace}A{sub {mu}I}{r_brace}. Derive the corresponding whole gauge invariant Lagrangian, equations of motion, Bianchi identities, Noether relationships, charges and Ward-Takahashi equations. Whole Lorentz force and BRST symmetry are also studied. These expressions bring new interpretations further than the usual abelian model. They are generating a systemic system governed by 2N+ 10 classical equations plus Ward-Takahashi identities. A whole dynamics based on the notions of directive and circumstance is producing a set determinism where the parts dynamics are inserted in the whole evolution. A dynamics based on state, collective and individual equations with a systemic interdependence.},

doi = {10.1063/1.4756980},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1483,

place = {United States},

year = {Mon Sep 24 00:00:00 EDT 2012},

month = {Mon Sep 24 00:00:00 EDT 2012}

}