I analyse the conceptual and mathematical foundations of Lagrangian quantum field theory (that is, the ‘naive’ quantum field theory used in mainstream physics, as opposed to algebraic quantum field theory). The objective is to see whether Lagrangian quantum field theory has a sufficiently firm conceptual and mathematical basis to be a legitimate object of foundational study, or whether it is to...

It is proposed to apply a recently developed concept of local wave velocities to the dynamical field characteristics, especially for the canonical field energy density. It is shown that local energy velocities can be derived from the lagrangian directly. The local velocities of zeroand firstorder for energy propagation has been obtained for special cases of scalar and vector fields. Some import...

⋆ When there are several independent variables it is easy to make mistakes in taking partial derivatives. The fundamental rule is: always know which set of independent variables is in use, so that you are sure which are being held fixed during the process of taking a partial derivative. ⋆ A simple example will illustrate the problems that await the careless. Start with f(x, y) = 2x + y; ∂f/∂x =...

All models containing new physics are highly constrained by the electroweak precision tests. In this note I consider the electroweak precision data constraints on Little Higgs models by using a general method based on the effective Lagrangian approach: one eliminates the heavy fields from the Lagrangian via their classical equations of motion in the limit of infinite mass, which means in practi...

[1] Antarctic Bottom Water (AABW) is formed in a few locations around the Antarctic continent, each source with distinct temperature and salinity. After formation, the different AABW varieties cross the Southern Ocean and flow into the subtropical abyssal basins. It is shown here, using the analysis of Lagrangian trajectories within the Southern Ocean State Estimate (SOSE) model, that the pathw...

I discuss recent development on the description of heavy-quark (such as charmed and bottom) baryons as one or more heavy mesons " wrapped " by a skyrmion. Amazingly enough, such a description naturally arises when light-quark chiral symmetry and heavy-quark spin symmetry are incorporated in an effective Lagrangian. I interpret the resulting spectrum in terms of nonabelian induced (Berry) potent...

This talk focuses on two aspects of the search for super symmetry. First I argue that if the breaking of the electroweak symmetry is indeed explained by supersymmetry, then it is very likely that superpartners will be produced at Fermilab. Second, once superpartners are found we will move to the next stage where we need to learn the implications of how supersymmetry is realized for the underlyi...

We discuss the relation between two different models which are recently proposed as the model of localizing bulk gauge fields on a brane. In the former model, the localization of gauge field is achieved by adding both bulk and boundary mass terms while in the latter, it is done by taking into consideration the coupling between the gauge field and the dilaton field (this model is also regarded a...

We determine all tight Lagrangian surfaces in S2×S2. In particular, globally tight Lagrangian surfaces in S2 × S2 are nothing but real forms.