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Theory in the Field

Geographical Review, 2001
********** In the more than thirty years since we began our graduate training we have singly and jointly conducted fieldwork in the United States, India, Canada, and Sri Lanka. Our discussion here is about our work in Bedford, New York, although what we say applies to our other field sites as well.
JAMES S. DUNCAN, NANCY G. DUNCAN
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ON THE THEORY OF EXPONENTIAL FIELDS

Mathematical Logic Quarterly, 1983
An exponential field is a system (F,E) where F is a field and E:\(F\to F\) is a function subject to \(E(x+y)=E(x)\cdot E(y)\), \(E(0)=1\), E(1)\(\neq 1\). Let \(T_ 0\) be the theory of exponential fields of characteristic zero. The most important models of \(T_ 0\) are (\({\mathbb{R}},e)\) and (\({\mathbb{C}},e)\) where \({\mathbb{R}}\) is the field of
Bernd I. Dahn, Helmut Wolter
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String Field Theory

International Journal of Modern Physics A, 1987
String theory has emerged as the leading candidate for a unified field theory of all known forces. However, it is impossible to trust the various phenomenological predictions of superstring theory based on classical solutions alone. It appears that the crucial problem of the theory, breaking ten dimensional space-time down to four dimensions, must be ...
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Unified Field Theory

Canadian Journal of Mathematics, 1950
Introduction. In a recent unified theory originated by Einstein and Straus [l], the gravitational and electromagnetic fields are represented by a single nonsymmetric tensor gy which is a function of four coordinates xr(r = 1, 2, 3, 4). In addition a non-symmetric linear connection Γjki is assumed for the space and a Hamiltonian function is defined in ...
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Noncommutative Field Theory

International Journal of Theoretical Physics, 2003
There are many recent works studying noncommutative field theories and corresponding quantum mechanical problems. An attempt to construct self-consistent QFT directly on noncommutative Minkowski space encounters difficulties due to the violation of basic physical principles like Lorentz and gauge invariances, unitarity and causality.
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FIELD THEORY COMMUTATORS

Physical Review Letters, 1959
It is customary to assert that the electric charge density of a Dirac field commutes with the current density at equal times, since the current vector is a gauge-invariant bilinear combination of the Dirac fields. It follows from the conservation of charge that the charge density and its time derivative, referring to any pair of spatial points at a ...
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A reformulation of Field Theory

Il Nuovo Cimento, 1952
An alternative formulation is given for the quantum theory of fields in which the charge on a particle is introduced as an operator rather than as a number. In addition to the advantage of mathematical simplicity, this formulation allows the fundamental properties of charge quantization and charge conservation to be deduced from the one hypothesis ...
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Variational Field Theory

Journal of Mathematical Physics, 1971
Equations which define a ``consistent'' set of ``boundary'' conditions, and hence a field, for a given set of differential equations are derived from a variational principle. The equivalence of functionals defined over an entire domain and functionals defined over only a subdomain, but with a surface term added to account for the contribution of the ...
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