<s>
In	O
theoretical	O
physics	O
,	O
dimensional	B-Algorithm
regularization	I-Algorithm
is	O
a	O
method	O
introduced	O
by	O
Giambiagi	O
and	O
Bollini	O
as	O
well	O
as	O
–	O
independently	O
and	O
more	O
comprehensively	O
–	O
by	O
'	O
t	O
Hooft	O
and	O
Veltman	O
for	O
regularizing	O
integrals	O
in	O
the	O
evaluation	O
of	O
Feynman	O
diagrams	O
;	O
in	O
other	O
words	O
,	O
assigning	O
values	O
to	O
them	O
that	O
are	O
meromorphic	O
functions	O
of	O
a	O
complex	O
parameter	O
d	O
,	O
the	O
analytic	O
continuation	O
of	O
the	O
number	O
of	O
spacetime	O
dimensions	O
.	O
</s>
<s>
Dimensional	B-Algorithm
regularization	I-Algorithm
writes	O
a	O
Feynman	O
integral	O
as	O
an	O
integral	O
depending	O
on	O
the	O
spacetime	O
dimension	O
d	O
and	O
the	O
squared	O
distances	O
(	O
xixj	O
)	O
2	O
of	O
the	O
spacetime	O
points	O
xi	O
,	O
...	O
appearing	O
in	O
it	O
.	O
</s>
<s>
showed	O
that	O
dimensional	B-Algorithm
regularization	I-Algorithm
is	O
mathematically	O
well	O
defined	O
,	O
at	O
least	O
in	O
the	O
case	O
of	O
massive	O
Euclidean	O
fields	O
,	O
by	O
using	O
the	O
Bernstein	O
–	O
Sato	O
polynomial	O
to	O
carry	O
out	O
the	O
analytic	O
continuation	O
.	O
</s>
<s>
This	O
has	O
led	O
some	O
authors	O
to	O
suggest	O
that	O
dimensional	B-Algorithm
regularization	I-Algorithm
can	O
be	O
used	O
to	O
study	O
the	O
physics	O
of	O
crystals	O
that	O
macroscopically	O
appear	O
to	O
be	O
fractals	O
.	O
</s>
<s>
It	O
has	O
been	O
argued	O
that	O
Zeta	O
regularization	O
and	O
dimensional	B-Algorithm
regularization	I-Algorithm
are	O
equivalent	O
since	O
they	O
use	O
the	O
same	O
principle	O
of	O
using	O
analytic	O
continuation	O
in	O
order	O
for	O
a	O
series	O
or	O
integral	O
to	O
converge	O
.	O
</s>
