No parity anomaly in massless QED3: a BPHZL approach

In this letter we call into question the perturbatively parity breakdown at 1-loop for the massless QED_3 frequently claimed in the literature. As long as perturbative quantum field theory is concerned, whether a parity anomaly owing to radiative corrections exists or not will be definitely proved by using a renormalization method independent of any regularization scheme. Such a problem has been investigated in the framework of BPHZL renormalization method, by adopting the Lowenstein-Zimmermann subtraction scheme. The 1-loop parity-odd contribution to the vacuum-polarization tensor is explicitly computed in the framework of the BPHZL renormalization method. It is shown that a Chern-Simons term is generated at that order induced through the infrared subtractions -- which violate parity. We show then that, what is called parity anomaly, is in fact a parity-odd counterterm needed for restauring parity.Comment: 4 pages, no figures, to appear in Physics Letters

Exact Scale Invariance of the BF-Yang-Mills Theory in Three Dimensions

The ``extended'' BF-Yang-Mills theory in 3 dimensions, which contains a minimally coupled scalar field, is shown to be ultraviolet finite. It obeys a trivial Callan-Symanzik equation, with all beta-functions and anomalous dimensions vanishing. The proof is based on an anomaly-free trace identity valid to all orders of perturbation theory.Comment: 11 pages, Late

Gauge Independence of the Effective Potential Revisited

We apply the formalism of extended BRS symmetry to the investigation of the gauge dependence of the effective potential in a spontaneously symmetry broken gauge theory. This formalism, which includes a set of Grassmann parameters defined as the BRS variations of the gauge-fixing parameters, allows us to derive in a quick and unambiguous way the related Nielsen identities, which express the physical gauge independence, in a class of generalized 't Hooft gauges, of the effective potential. We show in particular that the validity of the Nielsen identities does not require any constraint on the gauge-fixing parameters, to the contrary of some claims found in the literature. We use the method of algebraic renormalization, which leads to results independent of the particular renormalization scheme used.Comment: 13 pages, no figures, Latex, final version published in NP

Finiteness of PST self-dual models

The Pasti-Sorokin-Tonin model for describing chiral forms is considered at the quantum level. We study the ultraviolet and infrared behaviour of the model in two, four and six dimensions in the framework of algebraic renormalization. The absence of anomalies, as well as the finiteness, up to non-physical renormalizations, are shown in all dimensions analyzed.Comment: 19 page

Scientific diving in Brazil: history, present and perspectives

Scientific diving (SD) is defined as any diving activity that applies scientific procedures to produce subsidies forstudies and technical works in underwater environments. The first report of an underwater scientific study inBrazil dates to the 19th century, in the Abrolhos reefs. Currently, in Brazil, scientific diving has been performedin various areas, from shallow coastal regions to remote and sometimes hard-to-reach places, such as oceanicislands, flooded caves, and icy areas like Antarctica. However, the regulation of SD in Brazil still lacks moreconcrete actions towards an effective and efficient self-regulation that offers physical safety to practitioners andinstitutional safeguards for organizations that use it in their research projects. Thus, this article aims to contributeto a better understanding of this critical issue in Brazil and to serve as a reference and incentive for the trainingof professionals and the development of these activities in the country. It includes: 1) a historical review ofSD; 2) a diagnosis of the training and application of SD in Brazil; 3) the evolution of marine sciences in Brazilfrom the perspective of SD; 4) a review of the use of environmental assessment and underwater conservationtechniques in oceans and internal waters; 5) an analysis of the evolution of scientific diver training in Brazil,including a diagnosis on training; 6) the history and updates of the rules, regulations, and safety of SD. Givenall the potential of diving combined with specific techniques for research, monitoring, and marine and limnicscience in Brazil, we aim to understand the evolution of scientific diving teaching and to outline perspectives inthe country, as it is crucial for the training of qualified scientists capable of performing these underwater tasks.Finally, we present futture plans for the development of this activity in Brazil from the point of view of researchand the labor market

Symanzik–Becchi–Rouet–Stora lessons on renormalizable models with broken symmetry: The case of Lorentz violation

In this paper, we revisit the issue intensively studied in recent years on the generation of terms by radiative corrections in models with broken Lorentz symmetry. The algebraic perturbative method of handling the problem of renormalization of the theories with Lorentz symmetry breaking, is used. We hope to make clear the Symanzik's aphorism: “Whether you like it or not, you have to include in the lagrangian all counter terms consistent with locality and power-counting, unless otherwise constrained by Ward identities.”